You are standing at ground level, 5000 ft away from where a rocket is being launched (pictured below). You keep the camera pointed at the rocket, so the angle of the camera changes as the height of the rocket changes. 5000 ft For the following questions (as shown in the picture), let 0 be the angle between the ground and the line of sight between the camera and rocket. Also, let h be the height of the rocket above the ground. Questions: 1. Without solving for the diagonal distance between the camera and rocket, write an equation using an appropriate trig function that relates the angle of the camera, the 5000 ft distance, and the height of the rocket. 2. Use your equation from question 1 to find what the height of the rocket is when the camera angle is 50° . round your answer to two decimals. Be sure to label your units (feet, degrees, radians, etc.). 3. Use your equation from question 1 to find what the angle of the camera is when the rocket is at a height of 100,000 ft. round your answer to two decimals. Be sure to label your units (feet, degrees, radians, etc.).

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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You are standing at ground level, 5000 ft away from where a rocket is being launched (pictured below). You keep the camera pointed at the rocket, so the angle of the camera changes as
the height of the rocket changes.
h
5000 ft
For the following questions (as shown in the picture), let 0 be the angle between the ground and the line of sight between the camera and rocket. Also, let h be the height of the rocket
above the ground.
Questions:
1. Without solving for the diagonal distance between the camera and rocket, write an equation using an appropriate trig function that relates the angle of the camera, the 5000 ft
distance, and the height of the rocket.
2. Use your equation from question 1 to find what the height of the rocket is when the camera angle is 50°. round your answer to two decimals. Be sure to label your units (feet,
degrees, radians, etc.).
3. Use your equation from question 1 to find what the angle of the camera is when the rocket is at a height of 100,000 ft. round your answer to two decimals. Be sure to label your
units (feet, degrees, radians, etc.).
Transcribed Image Text:You are standing at ground level, 5000 ft away from where a rocket is being launched (pictured below). You keep the camera pointed at the rocket, so the angle of the camera changes as the height of the rocket changes. h 5000 ft For the following questions (as shown in the picture), let 0 be the angle between the ground and the line of sight between the camera and rocket. Also, let h be the height of the rocket above the ground. Questions: 1. Without solving for the diagonal distance between the camera and rocket, write an equation using an appropriate trig function that relates the angle of the camera, the 5000 ft distance, and the height of the rocket. 2. Use your equation from question 1 to find what the height of the rocket is when the camera angle is 50°. round your answer to two decimals. Be sure to label your units (feet, degrees, radians, etc.). 3. Use your equation from question 1 to find what the angle of the camera is when the rocket is at a height of 100,000 ft. round your answer to two decimals. Be sure to label your units (feet, degrees, radians, etc.).
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The question above does not give us any information that we do not already know. I know that one possible trigonometric function we can use would be tan(theta)=h/5000. Which we could rearrange to be h=5000tan(theta). Then if we are checking for a 50 degree angle or 5pi/18 radians, we would get a height of 5,958.77ft. I am trying to figure out if I am using the correct equation or not. This website seems to be pretty vague and not worth the money. 

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