Pre-Calc

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A man stands on the roof of a building so that his eyes are 132m above ground level. A trash can is on the ground 67.5m away from the building on the line directly beneath the man. What is the angle of depression of the man's line of sight to the trash can on the ground?

• Pre-Calc -

Sketch the right-angled triangle.
base = 67.5, height = 132
Draw his line of sight

by alternate angles in parallel lines, the angle of depression will be equal to the angle at the base of the triangle, so
tanØ = 132/67.5 = ...
Ø = 62.9°

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