surveyor wants to find the height of an inaccessible cliff so she takes measurements at point A, some distance away from the cliff, and a second point, C which is along the the base of the cliff and it is 400 meters from point A. The surveyor calculates the angle of the elevation from point C to the top of the cliff which is 17 degrees. She finds that the angel from point B, which is the base of the cliff directly below the top, to C to A is 35 degrees, and that the angel from B to A to C is 26 degrees. What is the height of the cliff, to the nearest meter? Show 5 steps.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 46E
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A surveyor wants to find the height of an inaccessible cliff so she takes measurements at point A, some distance away from the cliff, and a second point, C which is along the the base of the cliff and it is 400 meters from point A. The surveyor calculates the angle of the elevation from point C to the top of the cliff which is 17 degrees. She finds that the angel from point B, which is the base of the cliff directly below the top, to C to A is 35 degrees, and that the angel from B to A to C is 26 degrees. What is the height of the cliff, to the nearest meter? Show 5 steps. 

17
35
Transcribed Image Text:17 35
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