Engineering Board Exam Reviewer · Solutions to Right Triangles · medium
ECE Board April 1998: A man finds the angle of elevation of the top of a tower to be 30°. He walks 85 m nearer the tower and finds its angle of elevation to be 60°. What is the height of the tower?
- 76.31 m
- 73.31 m
- 73.16 m
- 73.61 m
Answer
D. 73.61 m
Solution
Let h = height, d = original distance. 30°=h/d d=h 3. After walking 85 m nearer: 60°=h/d-85 d-85=h/ 3. Subtracting: h 3-h/ 3=85 h·2/ 3=85 h=85 3/2 73.61 m.
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