A camera is mounted on a tripod 4 feet high at a distance of 9 feet from George, who is 5 feet tall. Look at the model to the right. If the camera lens has angles of depression and elevation of 22°, will George's feet and head be seen by the lens? If not, how far back will the camera need to be moved to include George's feet and head? 22° 5' 9'

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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**Problem:**

A camera is mounted on a tripod 4 feet high at a distance of 9 feet from George, who is 5 feet tall. Look at the model to the right. If the camera lens has angles of depression and elevation of 22°, will George's feet and head be seen by the lens? If not, how far back will the camera need to be moved to include George’s feet and head?

**Diagram Explanation:**

The diagram on the right illustrates the situation, showing:

- A horizontal line representing the ground, with the camera at one end and George at the other.
- The vertical distance from the ground to the camera lens is 4 feet.
- George is represented as a vertical line 5 feet in height.
- The distance between the camera and George along the ground is 9 feet.
- Two line segments represent the angles of depression and elevation from the camera to George’s feet and head, each measuring 22°.
  
This setup allows us to analyze whether the angles are sufficient for the camera to view George entirely.
Transcribed Image Text:**Problem:** A camera is mounted on a tripod 4 feet high at a distance of 9 feet from George, who is 5 feet tall. Look at the model to the right. If the camera lens has angles of depression and elevation of 22°, will George's feet and head be seen by the lens? If not, how far back will the camera need to be moved to include George’s feet and head? **Diagram Explanation:** The diagram on the right illustrates the situation, showing: - A horizontal line representing the ground, with the camera at one end and George at the other. - The vertical distance from the ground to the camera lens is 4 feet. - George is represented as a vertical line 5 feet in height. - The distance between the camera and George along the ground is 9 feet. - Two line segments represent the angles of depression and elevation from the camera to George’s feet and head, each measuring 22°. This setup allows us to analyze whether the angles are sufficient for the camera to view George entirely.
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