SOLUTION: A man standing on the roof of a building 65.0 feet high looks down to the building next door. He finds the angle of depression to the roof of that building from the roof of his bui

Algebra ->  Triangles -> SOLUTION: A man standing on the roof of a building 65.0 feet high looks down to the building next door. He finds the angle of depression to the roof of that building from the roof of his bui      Log On


   

Question 1145337: A man standing on the roof of a building 65.0 feet high looks down to the building next door. He finds the angle of depression to the roof of that building from the roof of his building to be 34.6°, while the angle of depression from the roof of his building to the bottom of the building next door is 63.2°. How tall is the building next door? (Round your answer to the nearest tenth.)
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Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Man at top of his building, point M
To top of next door building, point T
To bottom of next door building, point B
M, T, and B form a triangle.
Interior angle at M, 28.6 degrees
Interior angle at T, 124.6 degrees
Interior angle at B, 26.8 degrees

Find distance TB if wanted using 65%2FTB=sin%2863.2%29
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Unfinished but maybe you can use this to find the rest of the solution.
(Law Of Sines)