Find the angle of depression for a zipline that travels 5495 horizontal feet and drops 1300 vertical feet. Round the degree to one decimal place.
Find the angle of depression for a zipline that travels 5495 horizontal feet and drops 1300 vertical feet. Round the degree to one decimal place.
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 Statement:**
Find the angle of depression for a zipline that travels 5495 horizontal feet and drops 1300 vertical feet. Round the degree to one decimal place.
**Solution Explanation:**
To find the angle of depression, you can use the tangent of the angle, which is the ratio of the vertical drop to the horizontal distance. Here, the tangent θ is calculated as:
\[ \text{tan}(\theta) = \frac{\text{vertical drop}}{\text{horizontal distance}} = \frac{1300}{5495} \]
Using a calculator, find the inverse tangent (arctan) of the ratio to obtain the angle of depression θ in degrees. Once calculated, round the result to one decimal place to get the final answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5b35509-0b77-4a0a-88c0-a637e9e03cb4%2F8e02aa7f-0377-4a1b-93d4-e0c21280f7b8%2F7dm7y8g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find the angle of depression for a zipline that travels 5495 horizontal feet and drops 1300 vertical feet. Round the degree to one decimal place.
**Solution Explanation:**
To find the angle of depression, you can use the tangent of the angle, which is the ratio of the vertical drop to the horizontal distance. Here, the tangent θ is calculated as:
\[ \text{tan}(\theta) = \frac{\text{vertical drop}}{\text{horizontal distance}} = \frac{1300}{5495} \]
Using a calculator, find the inverse tangent (arctan) of the ratio to obtain the angle of depression θ in degrees. Once calculated, round the result to one decimal place to get the final answer.
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