Concept explainers
Gayle stood at the edge of a 120-ft deep canyon. She is approximately 5 ft tall and when she looked across the canyon to the far corner, her line of sight made a 22° angle as shown in the figure. How wide was the canyon?
To calculate: The width of the canyon
Answer to Problem 41P
The canyon was
Explanation of Solution
Given information:
Gayle stood at the edge of 120 feet deep canyon. She is approximately 5 feet tall. When she looked across the canyon her line of sight made
Consider the diagram given in the question
Formula used:
Calculation:
According to the diagram Gayle make a right angled triangle.
For a right angled triangle, assume hypotenuse as
Now,
The depth of the canyon
Height of Gayle
Therefore, the perpendicular
Assume the width of the canyon
Hence, the width can be calculated as,
Therefore, the canyon was
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