You stand 50 feet from a monument. The angle of depression from the top of the monument to your feet is 64 degrees. Approximately how tall is the monument

Answers

Answer 1

Answer:

The monument is approximately 86.6 feet tall

Step-by-step explanation:

The given monument parameters are;

The distance of the person from the monument = 50 feet

The angle of depression from the top of the monument to the person's feet = 64°

Given that the angle of elevation to the top of the monument from the person's feet = The angle of depression from the top of the monument to the person's feet, we have;

tan(Angle of depression) = tan(Angle of elevation) = (The height of the monument)/(The distance from the monument)

∴ The height of the monument = tan(Angle of depression) × The distance from the monument

Substituting the known values, gives;

The height of the monument = tan(60°) × 50 ≈ 86.6

The height of the monument ≈ 86.6 feet.


Related Questions

The scale on Todd's map is 1 inch = 200 miles. The distance
from his house to his Grandma's house on the map is 5 1/4 inches.
What is the distance in miles from Todd's house to his Grandma's
house?

Answers

Answer:

1,050 miles

Step-by-step explanation:

First: Convert any mixed numbers to fractions.

Then your initial equation becomes: Applying the fractions formula for multiplication,

2/14×200/1

Applying the fractions formula for multiplication,

21×200

 4×1

=42004

Simplify

1,050

Find the value of x so that the function has the given value.
p(x) = 6x - 12; p(x) = 18​

Answers

k(x) = 6x - 12

k(x) = 18

substitute:

6x - 12 = 18     |+12

6x = 30    |:6

x = 5

An item is regularly priced at $81. It is on sale for 45% off the regular price. Find the sale price.

Answers

Answer:

44.55

Step-by-step explanation:

Internet said this: "Thus, a product that normally costs $ 81 with a 45 percent discount will cost you $ 44.55, and you saved $ 36.45. You can also calculate how much you save by simply moving the period in 45.00 percent two spaces to the left, and then multiply the result by $ 81 as follows: $ 81 x. 45 = $ 36.45 savings."

Hope this helps∞<3

Let me know if it right or wrong!

Answer: $44.55

Step-by-step explanation:

$81*.45=36.46

$81-$36.45= $44.55

576 is 450% of what number ?

Answers

The answer is 128. Sorry I’m really bad at explaining

Jennifer wants to buy new basketball shoes. She has $45 and plans to save $35 a week. How many weeks would she need to save if the shows cost a total of $115

Answers

Answer:

Jennifer will need to save 35$ for 2 weeks.

Parker grew
21 inches each year for the past 3 years. How many inches total has Parker grown in the past 3 years

Answers

Answer:

63

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

21x3=63

In 3 hours Traci is 135 miles from home as she drives from San Francisco to Dawson. Let represent the number of hours and represent the number of miles. The rate of change is and in 12 hours Traci will be miles from home

Answers

Answer:

45 mph

540 miles

Step-by-step explanation:

Given that :

Number of miles from home = 135 miles

Number of hours = 3 hours

Rate of change : Distance / Time

Rate of change = 135 miles / 3 hours

Rate of change = 45 miles per hour

Distance covered in 12 hours :

45 mph * 12 hours = 540 miles

Hence, In 12 hours Traci will be 540 miles from home


Sara says, "If you subtract 19 from my number and multiply the difference by - 2, the result is -4."
What is Sara's number?
Sara's number is

Answers

Her number is 27, I hope
I don’t know how you got 27 but that’s not right. Sara’s number is 21. Because this is the problem

X=Sara’s number
(19-x) • 2 = -4
38-2x = -4
To bring 38 to the other side subtract it
-2x = -4 -38
-2x= -42
Divid -2 by -42 to get X by itself
X = 21

Put X into the equation to check
(19-21) •2= -4
-2•2 = -4
-4=-4

If I got that wrong I’m sorry and I’m sorry for being cocky but 27 doesn’t make sense but I could have gotten the equation wrong in the beginning

A package of 3 pairs of insulated gloves costs ​$20.37. What is the unit price of the pairs of gloves​?

a
6.91
b
6.79
c
3.40
d
61.11

Answers

Answer: 6.79

Step-by-step explanation:

Answer:

B

Step-by-step explanation:


Help me please, I’ll give brainliest, pls say how u got the answer but quickly

Answers

Answer:

A) y = -1/2x + 2

Step-by-step explanation:

The line is negative, so you will have a negative slope

The line is crossing the y- axis at 2 so the y- intercept is 2.

Now do rise over run or rise/run

The lines rise is 2 and the run is 4

2/4 = 1/2 and since the line is negative the slope is negative -1/2

y = -1/2x + 2

Hope this helps ya!!

Determine the intercepts of the line.
y- intercept: (___, ___)
x- intercept: (___,___)


Answers

Answer:

Y-int (0,-6)

x-int (-8,0)

Step-by-step explanation:

Answer:

Give more clear question pls

Step-by-step explanation:

Find 12.43 more than 4.065.

Answers

Answer:

16.495

Step-by-step explanation:

plz mark B R A I N L I E S T

Answer:

16.405

Step-by-step explanation:

since you need to find more add 12.34 + 4.065= 16.405

A tuple is immutable. What does that mean?
O Atuple can be moved after it is created.
O Atuple cannot be changed once it is created.
A tuple can be changed after it is created.
O Atuple cannot be moved once it is created.

Answers

Answer:

A tuple cannot be changed once it is created.

Step-by-step explanation:

Help plisssssssssssssss!!!

Answers

Answer:

Question 2: v = 25n

Question 3: b (the output is 250 because 10 quarters is 250 cents)

Step-by-step explanation:

Each quarter is worth 25 cents. n represents the number of quarters you have. The number of quarters you have multiplied by 25 with give the value of the quarters in cents.

v = 25n

v = 25(10)

v = 250

(v represents the value in cents)

OMG PLSS ANSWERR People use water to​ cook, clean, and drink every day. An estimate of 17.2% of the water used each day is for cooking . If a family uses 68.8 gallons of water a day for cooking​, how many gallons do they use every​ day?

Answers

Answer:

260 gallons

Step-by-step explanation:

Hope it's correct

10) Joe took a taxi from his home to the airport. The taxi driver charged an initial fee of $8 plus
$4 per mile. The total fare was $48, not including tip. How many miles did Joe travel by taxi on
this ride?

Answers

10 miles I believe

I hope this helps :)

Find the Slope, Midpoint, and Distance for the coordinates (3, 9) and (5, 0).

Answers

Slope: Y= -9/2x+45/2 or Y= -4.5x+22.5

Midpoint: (4, 4.5)

Distance: √85 or 9.219544

Step-by-step explanation:

These are the Formulas:



Use a scale factor to find the missing side.

A)10
B)12
C)15
D)16

ᴄᴀɴ sᴏᴍᴇᴏɴᴇ ᴘʟᴇᴀsᴇ ʜᴇʟᴘ ᴍᴇ.

Answers

Answer:

15

Step-by-step explanation:

If we accept that the left side of the left triangle corresponds to the left side of the right triangle, then the scale factor is 6/8 = 3/4. By multiplying the scale factor by the bottom side of the first triangle, you'll get the corresponding side of the right triangle: 20 * 3/4 = 15.

Answer:

15

Step-by-step explanation:

Emma earns $2 less than three times as much as Rachel. Nick earns twice as much as Emma. Together they earn $594 per week. How much does each person earn per week? ​

Answers

Answer:

290$

Step-by-step explanation:

Answer:

Mei earn $2 less than three times as much as Olivia. Shane earns twice as much as mei. Together they earn $594 per week. How much does each person earn per week?

***

Step-by-step explanation:

let x=amt Olivia earns

3x-2=amt Mei earns ($2 less than three times as much as Olivia).

2(3x-2)=amt Shane earns (twice as much as mei)

..

x+3x-2+2(3x-2)=594

x+3x-2+6x-4=594

10x=600

x=60

3x-2=178

2(3x-2)=356

amt Olivia earns=$60

amt Mei earns=$178

amt Shane earns=$356

1. The base of an open rectangular tank is 3.2 m by 2.8 m. Its height is 2.4 m. It contains
water to a depth of 1.8 m. Cal culate the surface area inside the tank that is not in conta
with water.

Answers

Answer:

16.64 m

Step-by-step explanation:

Subtract the depth of the water from the height of the tank (0.6) and use this measurement for height instead. then calculate l•h•2+w•h•2+l•w

(we multiplied the length and height and the width and height by two since there’s two sides with the same measurement for each)

If 3.485÷5.1 is random long division form so that advisor is rain as a whole number where one the decimal point the place in the dividend.

Answers

When it comes to division 3.485 would be apart of the Warhol there for it is non targeted

The Vanderbloom family already traveled 200 miles on their vacation. The total distance that they will travel (d) is a function of their rate of travel (r) and their upcoming travel time (t).

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete. However, I'll ask and answer possible questions that emanate from the given parameter.

A possible question is: Write the given information as a function of distance.

We have that;

[tex]Base\ Distance = 200[/tex]

[tex]Time = t[/tex]

[tex]Rate = r[/tex]

The function would be calculated as:

Base Distance + Rate * Time

Substitute values for Base Distance, Rate and Time

This gives:

[tex]200 + r * t[/tex]

[tex]200 + rt[/tex]

Hence;

[tex]Distance = 200 + rt[/tex]

Another possible question is to determine the current distance travelled by the family at a rate of 80 miles per hour for 3 hours.

Here, we have:

[tex]r = 80[/tex]

[tex]t = 3[/tex]

Substitute these values in [tex]Function = 200 + rt[/tex]

[tex]Distance = 200 + 80 * 3[/tex]

[tex]Distance = 200 + 240[/tex]

[tex]Distance = 440[/tex]

A cell phone is on sale for $205 after a 20% off discount. What was the original price of the phone?

Answers

Answer:

256.25

Step-by-step explanation:

if you have a 20% discount then you are paying 80% if the original cost.

so 80% of the original price is 205

.80x = 205

x = 205/.80

I NEED HELP ASAP ILL GIVE BRAINLIEST
50 = 1.56x+1.29

Answers

Answer:

x approximately = 31.22  

Step-by-step explanation:

1.29 + 1.56x = 50

- 1.29               - 1.29

_________________

1.56x = 48.71

___________

       1.56

  x approximately = 31.22

Hope this helps at all!

2. A recipe includes 8 cups of flour and
į cup of sugar. Write the ratio of the
amount of flour to the amount of
sugar as a fraction in simplest form.

Answers

Answer:

0.25:2

Step-by-step explanation:

pllllllllllllllllllllzzzzzzzzzzzzzzz hhhhhhhheeeeeeeeelllllllllllppppppppp

Answers

1 - a comparable
2 - ? what are the words to pick from
3- contradiction

Margo is selling boxes of nuts to raise money for her club. She finds that 3 out of every 7 boxes of nuts are cashews. Write a ratio to represent the number of boxes of cashews to the total number of boxes sold.

Answers

Answer:

3 : 7

Step-by-step explanation:

make sure the three of on the left

The number of boxes of cashews to the total number of boxes sold is expressed as 3:7 in ratio.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other. The general form of expressing a ratio between two quantities say 'a' and 'b' is a: b

Margo finds that 3 out of every 7 boxes of nuts are cashews.

In order to calculate the ratio of two quantities, we can use the following steps

First, we must determine the quantities for both scenarios for which we are calculating the ratio. In this situation, there are three cashews and seven boxes.

Write it as a fraction, a/b. As a result, we write it as 3/7.

Therefore, the number of boxes of cashews to the total number of boxes sold is expressed as 3:7 in ratio.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ5

what are the numbers of the symbol π

Answers

Answer:

i assume that is pi

Step-by-step explanation:

3.14159 is the first didgits, but a lot of my teachers  just like to round it to 3.14

hope this helps :)

The first few digits are 3.14159. The symbol is called pi if you didn't know.

Which of the following phrases describe the functions of the digestive system?

I. Smooth, muscular tube connects the mouth to the stomach
II. Muscular action in the esophagus pushes food to the stomach
III. Structures called microvilli increase the surface area of the intestines
IV. Nutrients are absorbed and then made available to the body’s cells

Answers

II is the answer I believe

Answer:

IV, number 4

Step-by-step explanation: The reason why is because the digestive system is used when you eat your body absorbs all the nutrients from the food you ate to create energy.

Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue paint and 20 cans of yellow paint when he starts. He wants the same green color every time he mixes, so the amounts of blue and yellow must always be proportional to the original mixture. On day 1, he mixes 4 cans of blue and 6 cans of yellow. On day 2, he mixes 6 cans of blue and 9 cans of yellow. Fill in the blanks to find the highest number of cans of each color Marc can mix to make the same shade of green on day 3. 1. In simplest form, what is the ratio of blue paint to yellow paint in the mixture?

Answers

Answer:

2 : 3

Step-by-step explanation:

Total cans of blue paint = 14

Total cans of yellow paint = 20

Day 1:

Yellow paint = 6 cans

Blue paint = 4 cans

Ratio of blue paints to yellow paint

4 cans : 6 cans

= 2 : 3

Day 2:

Yellow paint = 9 cans

Blue paint = 6 cans

Ratio of blue paints to yellow paint

6 cans : 9 cans

2 : 3

The ratio of blue paint to yellow paint in the mixture is 2 : 3

Day 3:

Cans of yellow remaining after 2 days

Yellow paint = Total cans of yellow paint - day 1 cans of yellow paint - day 2 cans of yellow paint

= 20 - 6 - 9

= 20 - 15

= 5 cans

Cans of blue remaining after 2 days

Blue paint = Total cans of blue paint - day 1 cans of blue paint - day 2 cans of blue paint

= 14 - 4 - 6

= 14 - 10

= 4 cans

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