You are flying a kite and want to know its angle of elevation. The string on the kite is 39 meters long and the kite is level with the top of a building that you know is 24 meters high. Find the angle of elevation of the kite
.a.58.392
b.37.980
c.31.608
d.52.020

Answers

Answer 1

Answer:

The correct option is (b).

Step-by-step explanation:

Given that,

The length of the string = 39 m

The kite is level with the top of a building that is 24 meters high.

We need to find the angle of elevation of the kite.

A right-angled triangle will form such that its hypotenuse is 39 m and height is 24 m. Using trigonometry to solve this.

[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{24}{39}\\\\\theta=\sin^{-1}\left(0.61538\right)\\\\\theta=37.98^{\circ}[/tex]

So, the angle of elevation of the kite is 37.97°. The correct option is (b).


Related Questions

License plates are made using 2 letters followed by 4 single digits. If any letter can be only used once but the digits can be repeated how many plate numbers are available?

Answers

Answer:

6,500,000

Step-by-step explanation:

Here, we first need to find all the possible selections for the code.

Then, we need to find the number of options for each one of these selections.

We have, 2 letters followed by 4 single digits.

There are 26 letters

There are 10 single digits.

For the first letter, we have 26 options.

For the second letter, we have 25 options (because one is already taken, and we can repeat that)

And for each one of the numbers, we have 10 options (we can repeat the numbers)

The total number of options for the code, is equal to the product of all the numbers of options for each selection, then the total number of possible plate numbers is:

C = 26*25*10*10*10*10 = 6,500,000

Can someone please help me with this

Answers

Step-by-step explanation:

Therefore, 55+40+z=180

z=180-95

z=85

To get y,

z+y=180

85+y=180

y=95

PLEASE HELP ME WITH THIS

Answers

here you go, should be right

Answer:

Plot your x,y points at (0,1) and (1,3)

A circle in the xy-coordinate plane has the equation x2 + y2 +6y -4 = 0. If the equation of the circle is written in the form x2 + (y+k)2 = c.
where k and care constants, what is the value of K?

Answers

Answer:

k = 3

Step-by-step explanation:

Given

x² + y² + 6y - 4 = 0 ( add 4 to both sides )

x² + y² + 6y = 4

Using the method of completing the square

add ( half the coefficient of the y- term )² to both sides

x² + y² + 2(3)y + 9 = 4 + 9

x² + (y + 3)² = 13

with k = 3

Marisa is buying a vase of red roses for Mother's day. The florist charges $12.00 for a vase Marisa selected plus $4.75 per rose. Determine an equation to represent the cost of the bouquet, C, in terms of the number of roses in the bouquet, r. If Marisa has saved $55 to get her Mother's Day bouquet, how many roses can she have the florist put in the vase?​

Answers

Answer:

8 Roses

Step-by-step explanation:

Y = 15 + 4.50X

 

51 = 15 + 4.50X

 

51 - 15 = 4.50X

 

36 = 4.50 X

 

360 = 45x  

 

360/45 = x

 

x = 8

Find the vertex of the graph of the equation $y = -2x^2 + 8x - 15.$

Answers

Answer:

(2,-7)

Step-by-step explanation:

i have no idea what this means pls help lol

Answers

I’m not 100% if this is the answer I think it’s. B<-4 or b>-3

The area of a parallelogram can be found by the
equation area = (b)(h)
Find the height of a parallelogram that has an area of
10 2 in2 and a base of Ži in.
SET
The height of the parallelogram is
inches.
I NEED THE ANSWE ASAP

Answers

The height = (7/2)

You take the answer and divide it by the base to get the height.
Same thing for base. You divide the answer by the height to get base.

Answer:

14

Step-by-step explanation:

just did it (don't search up mr hands)

I dont get this. please help

Answers

Answer:

Step-by-step explanation:

All of these are done exactly the same way so I will work out one of them for you, and you can follow my example to get the answers to the rest of them. I will do #5. The formula for this is

7(7 + x) = 8(8 + 13) and then solve the equation to find x:

49 + 7x = 168 and

7x = 119 so

x = 17.

Follow that pattern for each of your problems and you should be fine.

1 in : 3 ft the center is 45 feet long and 28 feet wide

Answers

Answer:

Step-by-step explanation:

PLEASE HELP!!!

ABC maps the outline of a new park. What is the area of the park?

the multiple choice answers are in the photo

Answers

Answer:

[tex]Area = 10[/tex]

Step-by-step explanation:

Given

[tex]A = (2,1)[/tex]

[tex]B =(4,7)[/tex]

[tex]C =(6,3)[/tex]

Required

The area of the park

The outline is a triangle and as such, the area is calculated using:

[tex]Area = \frac{1}{2}|(x_1y_2 - x_2y_1) + (x_2y_3 - x_3y_2) + (x_3y_1 - x_1y_3)|[/tex]

This gives:

[tex]Area = \frac{1}{2}|(2*7 - 4*1) + (4*3 - 6*7) + (6*1 - 2*3)|[/tex]

Using a calculator, we have:

[tex]Area = \frac{1}{2}|-20|[/tex]

Remove absolute bracket

[tex]Area = \frac{1}{2}*20[/tex]

[tex]Area = 10[/tex]

find the value of x pls help

Answers

Answer:

x = 15°

Step-by-step explanation:

First Identify the angle of x by subtracting 180° - 120° = 60°

Always remember when you see a straight line the line measures 180°

So the angle of x = 60° but not the value of x so use the given equation to find the value of x

3x + 15 = 60°

3x  - 15 = -15°

3x = 45

x = 15°

sara spent $ 2.30 on sweets , $ 3.20 on a pencil and $ 9.15 on an excerise book . What steps would you use to find out much less than $ 15.00 sara spent

Answers

2.30 plus 3.20 and 9.15 is 14.65 .

A new LED light bulb uses 10 watts of power. Since
energy
=
power
×
time
, then the energy used for this light bulb can be found my multiplying the power times the time the bulb is lit. If the bulb is lit for one hour, the energy used will be 10 watt*hours or 10 Wh. If three 10 watt bulbs in one room are kept on for 5 hours, how many watt*hours of energy are used?


Parents sometimes yell at their children for leaving the light on in their bedroom when they aren't in the room. If the child's room is lit with two 10 watt bulbs for one extra hour a day for everyday of the year (365), and the cost of energy is $0.068 per kilowatt*hour (kWh), how much money is wasted on lighting that isn't being used, to the nearest cent.

Answers

Answer:

150 Wh

I guess the question means, how much money is wasted on lighting in a year ?

$0.50

Step-by-step explanation:

3 × 10W × 5 hours = 150 Wh

2 × 10W × 1 hour × 365 × 0.068 / 1000

divided by 1000, because the price is in kWh (1000 Wh), but the rest of the calculation refers to W. so, we need to bring all factors to the same dimension. the division by 1000 either brings the Wh to kWh, or the price to the price for Wh (instead of kWh). it does not matter which one. just one of these 2 things have to happen here, so that all factors have the same dimension.

=> 20 × 365 × 0.068 / 1000 = 7300 × 0.068 / 1000 =

= 7.3 × 0.068 = $0.50 (rounded from 0.4964)

PLEASE HELP ME!!! ILL GIVE BRAINLIEST IF ITS RIGHT

Answers

Answer:

266.386

Step-by-step explanation:

im not shore if its right, i used a surface area calculator

Answer:

56ft

Step-by-step explanation:

Surface area is adding up all the sides multiplied by 2, so:

8 x 2 = 16ft

8 x 2 = 16ft

12 x 2 = 24ft

24ft + 16ft + 16ft = 56ft

A psychologist is interested in determining whether a new treatment for depression improves (decreases) depression scores. She randomly assigns 30 subjects to the treatment and 30 subjects to the control. At the conclusion of the study she uses an independent t-test to evaluate whether the groups differ on a widely used depression scale that ranges between 0 and 30. The treatment group mean is 18 and the control group mean is 22. What is the null hypothesis for the analysis

Answers

Answer:

Mean Hypothesis is Mean values of the treatment and the control group is not equal

Step-by-step explanation:

The null hypothesis is mostly the problem statement.

Here the problem statement is

To check whether there is a difference in treatment result of two groups of patient; one which has received the treatment and the other is the control group.

Thus, the null hypothesis is

H0 - Mean values of the treatment and the control group is not equal

hey! i’ll give brainliest please help

Answers

Answer:

The 4th answer

Step-by-step explanation:

Answer:

D

hope this helps

have a good day :)

Step-by-step explanation:

What is the value of y in the diagram?
y
x
X-20

Answers

Answer:

x+x-20 = 180-90

2x-20 = 90

2x. =90+20

2x. =110

x. =55

y+55. =90

y. =90-55

y. =35

A store owner wants to sell 200 pounds of pistachios and walnuts mixed together. Walnuts cost 4 dollars per pound and pistachio cost 6 dollars per pounds. How many pounds of each type of nuts should be mixed if the store owner will charge 5 dollars for the mixture?

Answers

Answer:

ᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰ

Step-by-step explanation:

ᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰ

what is the answer on this question

Answers

Your Answer..

V=10in³

Hope This Helps You

I need help please.......

Answers

The answer is b. I hope this helps and good luck

Answer: I and III

Step-by-step explanation:

The origin is at (0,0).

When we look at the graph, we can see that the only visible x and y intercepts are at the origin, (0,0) (an x or y intercept is where the graph intersects the x or y axis). We also know that because the graph is going outwards, it will not have another x or y intercept. So, I is correct.

II would be incorrect because the maximum point would be WAY further up. The maximum point is the highest point the graph will reach.

III is correct because the origin is the lowest point, which means that the origin is the minimum point.

Jeremy received $65 for his birthday and used part of it to buy 3 video games. The games cost the same amount, and he had $14 left. Write the equation used to determine how much each game cost.



A.3x + 14 = 65


B.3x - 14 = 65


C.65 - 3x = -14


D.14 - 3x = 65

Answers

A. Is your answer, if the games cost the same amount and he bought 3, that would give you 3x, the total is 65, and 14 is what was left. You would subtract 14 from the total, then divide by 3 to get x by itself.

Answer:

i believe the answer should be

Step-by-step explanation:

3x+14=65 which is telling you that 3 times a number which is unknown so we will call it x and add 14 equals 65. when you work it out you should get the total which is 65. so the way you work that out is you separate everything without an x to the right side of the equation which looks like 3x=65-14 then work it out subtract 14 from 65 and you get 3x=51 )which is total spent on 3 games. Then you divide 3x/3= 51/3 then the 3s cancel our so you have x=51/3 and when you work that out you get your answer x=17 which is the cost per game.

Find the surface area of the pyramid represented by the net. 5.5 cm 5 cm 5 cm ​

Answers

Answer: I think the answer is 25 units squared

Step-by-step explanation:

A= l*w

A= 5*5

A=25^2

Answer: I think it's 80

QUICK I NEED HELP!!! I'll mark brainliest!
Which is a statistical question that could have been asked to collect the data shown on the dot plot?

1.How many student's are in your school?

2.On what day in July is Independence Day?

3.How many televisions do the families in your neighborhood own?

4.What is the height of your classroom door?

Answers

Answer:

How many televisions do the families in your neighborhood own?

Answer:

Step-by-step explanation:

There is no dot plot so I can’t help

3-1/3n< 6;n>-9 What is n???

Answers

Answer:

i don't understand your question, but i'll try to the best of my ability.

the answer to that is:

-8.33333333333

Step-by-step explanation:

let me break this down into a way you might understand.

1: 3-1=2

2: 2 divided by 3=0.66666666666.

3: i don't know if the "< 6;n>", was meant to be in the equation, so i just added the rest of it up.

if that's not right let me know. i'm pretty clueless sometimes, and this might just be a higher level of math that i don't know.

you're welcome though, (i suppose..) and have a great day.

the sum of a and 3a is​

Answers

[tex]\boxed{4a}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]a + 3a \\ = 4a[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]

Answer:

Step-by-step explanation:

a+3a

since they are like terms u can add them

=4a  

therefore a+3a=4a

what is 713.49 written as a standard form​

Answers

It’s one hundred seven thirteen and forty nine hundreds

you don’t have to tell me the answer i just dk what to do for this problem

Answers

Answ either

Step-by-step explanation:

write a liner equation that passes through the point (2, -9) and has a slope of -5

Answers

Answer:

y=-5x-9

Step-by-step explanation:

Find the exact area of the shaded region.
120°
24 m
O A. (192 - 144)m2
OB. (192 - 14413 )m2
O C. (8 - 14413 )m?
O D. none of the above

Answers

Find the exact area of the shaded region.
120°
24 m
O A. (192 - 144)m2
OB. (192 - 14413 )m2
O C. (8 - 14413 )m?
O D. none of the above
The answer is 120 have a great day
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