Three angles of a quadrilateral are 75°, 90° and 75°. What is the measure of the fourth angle?
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Answer:
56.4 ft
Step-by-step explanation:
The tangent of the angle relates the opposite side (height above the window) to the adjacent side (distance between buildings) in the right triangle that models this geometry.
Tan = Opposite/Adjacent
tan(35°) = (height above window)/(distance between buildings)
height above window = (52 ft)tan(35°) ≈ 36.4 ft
Added to the window height of 20 ft, the height of the other building is ...
20 ft + 36.4 ft = 56.4 ft
