In the figure, a person standing at point A notices that the angle of elevation to the top of the antenna is 49° 30'. A second person standing 37.0 feet farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be 43° 10'. How far is the person at A from the base of the antenna? (Round your answer to the nearest whole number.)

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°.
Question

In the figure, a person standing at point A notices that the angle of elevation to the top of the antenna is 49° 30'. A second person standing 37.0 feet farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be 43° 10'. How far is the person at A from the base of the antenna? (Round your answer to the nearest whole number.)

Expert Solution
Step 1

It is given that a person standing at point A notices that the angle of elevation to the top of the antenna is 49° 30'

Also second person standing 37.0 feet farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be 43° 10'.

It is required to find the distance of the person at A from the base of the antenna.Let h denote the height of antenna and x denote the distance of person A from base of antenna.

Using the given information and sketch the figure as,

Trigonometry homework question answer, step 1, image 1

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