A daredevil decides he wants to jump out of a plane and parachute to the U.S.S. Showboat. He knows he needs to leave the plane at an angle of 58˚ from vertical and he knows he wants to wait until the horizontal distance to the boat is 1000yd. How far away should the plane be from the boat to complete his aerial stunt successfully?

Answers

Answer 1

Answer:

1179 yards

Step-by-step explanation:

The question can be described by a right angled triangle.

The angle of depression of the boat from the plane = [tex]90^{o}[/tex] - 58˚

                                                                    = [tex]32^{o}[/tex]

Let the distance from the plane to the boat be represented by x.

Thus, applying the appropriate trigonometric function, we have;

Cos θ = [tex]\frac{Adjacent}{Hypotenuse}[/tex]

Cos [tex]32^{o}[/tex] = [tex]\frac{1000}{x}[/tex]

x = [tex]\frac{1000}{Cos 32^{o} }[/tex]

  = [tex]\frac{1000}{0.8481}[/tex]

  = 1179.11

x = 1179 yds

The plane should be 1179 yards away from the boat.


Related Questions

Carly has some rope to mark off a rectangular area of grass for a field day game. The rectangle needs to be 6 feet wide. Which expression represents how much rope Carly needs if the rectangle is g feet long?

Answers

Answer:

B ) 2 g + 12

Step-by-step explanation:

podem me ajudar é urgenteeeee

Resolva o sistema 3x + y = 3 e 3x + 4y = 30. O valor de y é igual a:

a)9
b)3
c)2
d)1
03. Se x = 5y e x + 3y = 16, qual o valor da variável y:

a)1
b)2
c)3
d)4

Answers

Answer:vTerm of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.

this is true because the explanation gives us an answer as long

Step-by-step explanation: Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.

FRER POINTS ANSWR NOW........

Answers

Answer:

Hey I’m early and actually get points

Step-by-step explanation:

what is 0.3 + 0.27 is it 30?

Answers

Answer:

0.3+0.27=0.57

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

0.3-0.27=0.57

hope this helps :3

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so ive been trying to figure this out but i cant!

Answers

Answer:

This is a linear graph.

Step-by-step explanation:

Since the x values increase at a constant of 1. The y-values have a 1st difference of -4 which means the graph is linear.

i think it is y=-4x+-3

The subject of the formula below is y

y=4x+3

Rearrange the formula to make x the subject

Answers

Answer:

x = (y - 3)/4.

Step-by-step explanation:

y = 4x + 3

y - 3 = 4x

x = (y - 3)/4.

Step-by-step explanation:

y=4x+3

all divide by 3

4x=y/3

cross multiple

12x=y

divide both sides by 12

therefore, x is equal to y/12

The smiths previously lived in a house that had 1450 sq ft of space. The sq ft of their new home is 3800 sq ft. What is the percent increase of their living space?

Answers

Answer:

162.1%

Step-by-step explanation:

Given that:

Size of previous living space = 1450 sq ft

Size of new living space = 3800 sq ft

% increase in living space ;

Increase in living space = 3800 - 1450 = 2350 sq feet

(Increase / previous size) * 100%

(2350 / 1450) * 100%

1.6206 * 100%

= 162.06%

= 162.1%

help me!!! its geometry.. plz help and thank you!!

Answers

Answer:

1. m<1 + <2 = m<4; given

2.  m<3 + m<4 = 180; linear pair postulate

3. m<1 +m<2 + m<3 = 180; substitution property

1. <1 is congruent to <4; given

2. <1 is congruent to <2, <3 is congruent to <4; vertical angle congruency theorem

3. <2 has to be congruent to <3; transitive property

Step-by-step explanation:

Will mark brainliest to answer with explanation

In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to the fifth and final round. Glenn scored 4 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Glenn scored in each of the second, third, and fourth rounds if he earned a place in the finals?

4 + 3p ≤ 40
4 + 3p ≥ 40
4p + 3 ≥ 40
4p + 3 ≤ 40

Answers

Answer:

4 + 3p ≥ 40

Step-by-step explanation:

4 points in the first round plus 3p (identical scores) has to be at least 40 points or higher to move on.

A plane is traveling at a constant speed of K miles per hour. Which coordinate is
represented on the graph?


A. 1,K
B. K,K
C. K,1

Brainly

Answers

Answer:

Option (A)

Step-by-step explanation:

Plane is travelling at a constant speed = K miles per hour

K = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]

Distance = k(Time)

For Time of traveling = 1 hour

Distance traveled = k × 1

                              = k miles

Therefore, k miles will be traveled in one 1 hour and ordered pairs of the given point on the line will be (1, k)

Option (A) will be the correct option.

Joshua ran 1.45 miles, and Jasmine ran 1.5 miles who Ran Farther?

Answers

Jasmine ran faster because 1.45 is less than 1.50 which can also be written as 1.5

Answer:

Jasmine

Step-by-step explanation:

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Answers

Lnockfousoudoucojvpufyx

Is there anything needed for this question? I'm not willing to take "free points"

You are riding your scooter to a town that is 120 miles away and you can maintain a speed of 30 mph. How long will it take you?

Answers

Answer:

4 hours

Step-by-step explanation:

120 ÷ 30 = 4

Hope this helps. Pls give brainliest.

A banker earns a $75,000 annual salary, a 2,35% commission on any approved loans for the bank’s business customers, and a fee of $3.75 for each application processed. If the banker has a total of 2.8 million in approved business loans and processes 2,750 applications this year, what are the banker’s earnings rounded to the nearest dollar ??

Answers

Answer:

Amount earned = $151,113

Step-by-step explanation:

Here, we are interested in calculating the banker’s earnings rounded to the nearest dollar;

We proceed as follows; we have the following;

1. Annual salary of $75,000

2. 2.35% on approved loans.

Approved loans = 2.8 million

Commission = 2.35/100 * 2.8 million = $65,800

3. $3.75 for each processed loan application

Total = 2750

Amount = 3.75 * 2750 = $10,312.50

Total amount earned is thus;

$75,000 + $65,800 + $10,312.50 = 151,112.5 = 151,113 to the nearest dollar

Whats the answer for number 3?

Answers

Answer:

B. There are no discounts or charges per month.

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Solve for y, Angle Q and Angle S

Answers

Answer:

hope

Step-by-step explanation:

Find the slope of the line.
y = 3/4x + 207

Answers

m = 3/4
Remeber y = mx + c

Your car has 10 gallons of gas. You use 1 gallon every 20 miles you travel. Fill in the table.

Answers

Answer:

(0, 0), (20, 1), (40, 2), (60, 3), (80, 4)

Step-by-step explanation:

0
1
2
3
4

These are the numbers you are looking for.

The fourth graders are going on a field trip to the Zoo. There are 83 students in the fourth grade. If tickets cost $26 each, how much will the field trip cost?

Answers

Answer:

Total trip cost = $2,158

Step-by-step explanation:

Given:

Cost of each ticket = $26

Number of student = 83

Find:

Total trip cost

Computation:

Total trip cost = Cost of each ticket x Number of student

Total trip cost = $26 x 83

Total trip cost = $2,158

what is the number if 50% of 25% of the number is 96

Answers

Let n = the number we need to find.

0.50(0.25)n = 96

0.125n = 96

Can you finish?

The number if 50% of 25% of the number is 96 is 768

Let the unknown number be x

50% of 25% of the number is expressed as 0.5(0.25)x

0.5(0.25)x = 0.125x

Equating the result to 96 will give;

0.125x = 96

Divide both sides by 0.125

0.125x/0.125 = 96/0.125

x = 96/0.125

x = 768

Hence the number if 50% of 25% of the number is 96 is 768

Learn more here: https://brainly.com/question/17395758

Write an equation for the line?

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

Given:

(2, 7) and (0, 3)

Find the slope between the two points:

(x1, y1) = (0, 3)

(x2, y2) = (2, 7)

(y2 - y1)/(x2 - x1)

(7 - 3)/(2 - 0)

4/2 = 2

m = 2

y = mx + a

y = 2x + a

Use one of the two points to find a (I will use point (2, 7):

7 = 2(2) + a

7 = 4 + a

a = 3

Slope-intercept Form: y = 2x + 3

Point-slope Form: y - 3 = 2x

Point-slope Form: y - 7 = 2(x - 2)

General equation: 2x - y + 3 = 0

A teacher is buying bags of chips for a grade-level picnic. The teacher wants to spend at most $36 on chips.Each bag of costs 2.95.

Which inequality represents the number of bags of chips,x, the teacher can purchase?​

Answers

It would be y=2.95x+36

An inequality that represents the number of bags of chips, x, the teacher can purchase is [tex]2.95x \leq 36[/tex].

Let the number of bags of chips be x.

Given the following data:

Total amount spent = $36Cost of each bag of chips = $2.95

To write an inequality that represents the number of bags of chips, x, the teacher can purchase:

In this exercise, you're required to write a mathematical expression to represent the total number of bags of chips (x) that a teacher can purchase without exceeding his or her budget of $36.

Translating the word problem into an algebraic expression, we have;

[tex]2.95x \leq 36[/tex]

Find more information: https://brainly.com/question/4728821

Which is NOT true?
A. 16 + 3 = 11 + 8
B. 16 = 16
C. 16 - 4 = 7 + 6
D. 16 = 19 - 3

Answers

Answer:

c

Step-by-step explanation:

16-4=12

7+6=11

The false statement is;

C. 16 - 4 = 7 + 6

Given that;

The mathematical expression is;

A. 16 + 3 = 11 + 8

B. 16 = 16

C. 16 - 4 = 7 + 6

D. 16 = 19 - 3

We have to state the false statement.

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The mathematical expression is;

A. 16 + 3 = 11 + 8

Left hand side,

16 + 3 = 19

Right hand side,

11 + 8 = 9

Left hand side = Right hand side

Hence, This is true.

B. 16 = 16

Left hand side = Right hand side

Hence, This is true.

C. 16 - 4 = 7 + 6

Left hand side;

16 - 4 = 12

Right hand side,

7 + 6 = 13

Hence, This is false.

D. 16 = 19 - 3

Left hand side;

16

Right hand side,

19 - 3 = 16

Left hand side = Right hand side

Hence, This is true.

Therefore, The false statement is;

C. 16 - 4 = 7 + 6

Learn more about the mathematical expression visit:

https://brainly.com/question/19025984

#SPJ2

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Answers

Answer:

51

Step-by-step explanation:

find the percent for each (34 and 33) subtract from their whole (220 and 170) then subtract from each other

3x^2−18x+12=0 by completing the square

Answers

Answer:

mark me brailist if it helped

Triangle ABC has vertices at A (1,-3), B (3,0)x and C (5,-3). What is the distance from vertex B to the midpoint of AC?

Answers

Answer:

The distance from vertex B to the midpoint of AC is 3 units

Step-by-step explanation:

we are given a triangle with vertices  A (1,-3), B (3,0) and C (5,-3).

Mid point of of AC  (x,y) =  ( 1+5/2 , -3 -3/2)

                                     = ( 6/2 , -6/2)

                                     = (3 , -3)

Distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

                              = [tex]\sqrt{(3-3)^2 + (0 + 3) ^2}[/tex]

                               = [tex]\sqrt{(3)^2}[/tex]

                                = 3 units

Whats the answer to number 9?

Answers

Answer:

B and D

Step-by-step explanation:

Because only those two equations on the graphs are straight. and are increasing or decreasing in a constant pace.

Jenna is putting a ribbon around the border of a square frame. The area of the frame is 196 square inches. How long will the ribbon need to be in order to go around the whole frame?

Answers

Answer: 56 inches

Step-by-step explanation:

Given that:

Area of square frame = 196 in²

Area of a square = a²

Where a = side length

Hence side length (a) of the square :

a² = 196

a = √196

a = 14

To find the length of the ribbon required :

Find the perimeter of the square :

Perimeter of a square = 4a

= 4 * 14

= 56 inches

from the diagram, identify a pair of corresponding angles

i need helppp!

Answers

Answer:

2 and 6, 1 and 5

Step-by-step explanation:

Answer:

1&5

Step-by-step explanation:

Given the two points (0,4) and (2, 6), what would the numerator of the equation for slope be?

2 - 0
6 - 2
2 - 4
6 - 4

Answers

6-4 because the equation for slope is m=y2-y1/x2-x1

Answer:

6-4

Step-by-step explanation:

You got the 6 from the (2, 6) and you got the 4 from the (0, 4). The numerator is always (I think) the second number.

Hope this helps!!

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