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Chapter 8: Q. 40 (page 528)

Finding the Height of a Mountain Use the illustration in Problem 39 to find the height QD of the mountain.

Short Answer

Expert verified

The mountain is 629.9 feet tall.

Step by step solution

01

Step 1. Given Information

The distance from the bottom of the mountain P to the top Q is PQ=1490.48feet

A surveyor measures angle of elevation from the bottom P to the top of the mountain Q is∠DPQ=25∘

02

Step 2. Find the height of mountain by Sin Law

sin25∘DQ=sin90∘1490.48DQ=sin25∘1490.48sin90∘DQ=629.9ft

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