Engineering Board Exam Reviewer · Solutions to Oblique Triangles · medium
CE Board November 1997: Points A and B are 100 m apart and are of the same elevation as the foot of a building. The angles of elevation of the top of the building from points A and B are 21° and 32° respectively. How far is A from the building in meters?
- 259.28
- 265.42
- 271.64
- 277.29
Answer
A. 259.28
Solution
Let x = distance from B (the nearer point) to the building. 32°=h/x and 21°=h/x+100. Combining: x=100 21°/ 32°- 21° 159.3 m, so the distance from A is x+100 259.28 m.
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