A light tower is going to be installed on the left edge of the Skywalk as indicated in the diagram above.  The light will shine down to the opposite edge of the Skywalk indicated with the star in the diagram above.  How tall does the light tower need to be if the angle of depression is 51°?

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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A light tower is going to be installed on the left edge of the Skywalk as indicated in the diagram above.  The light will shine down to the opposite edge of the Skywalk indicated with the star in the diagram above.  How tall does the light tower need to be if the angle of depression is 51°?  (Round to 1 decimal place and be sure to include units.)

The image illustrates a U-shaped pathway with detailed measurements. The total outer diameter of the path is 65 feet, while the inner circle has a diameter of 45 feet. The width of the path is 10 feet.

On the left side of the diagram, there is a diamond symbol marking the "Location of Light Tower." The path extends for a length of 70 feet from the leftmost point to the rightmost point, which is marked with a star symbol.

Overall dimensions:
- Outer Circle: 65 feet in diameter
- Inner Circle: 45 feet in diameter
- Path Width: 10 feet
- Total Length: 70 feet
- Total Width: 65 feet

This setup could be used for planning purposes, such as the layout of a walking path or for educational demonstrations of geometric shapes and measurements.
Transcribed Image Text:The image illustrates a U-shaped pathway with detailed measurements. The total outer diameter of the path is 65 feet, while the inner circle has a diameter of 45 feet. The width of the path is 10 feet. On the left side of the diagram, there is a diamond symbol marking the "Location of Light Tower." The path extends for a length of 70 feet from the leftmost point to the rightmost point, which is marked with a star symbol. Overall dimensions: - Outer Circle: 65 feet in diameter - Inner Circle: 45 feet in diameter - Path Width: 10 feet - Total Length: 70 feet - Total Width: 65 feet This setup could be used for planning purposes, such as the layout of a walking path or for educational demonstrations of geometric shapes and measurements.
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