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'
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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Concept explainers
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question

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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