Question

The roof of one building is 400 feet below the roof of another building. A person standing on the lower roof sees another person standing on the higher roof at a 35° angle of elevation.
Approximately how far apart are the buildings? Round to the nearest foot.

Answer 1

The distance between the two buildings is 844.23 feet apart, we go this answer by simply applying the SOH CAH TOA method

Trigonometry

Given Data

• Height of Building A (Opp) = 400 feet

• Angle of Elevation θ = 35°

• Distance between the buildings Adj = ??

Applying the SOH CAH TOA Approach we have

Tan  θ = Opp/Adj

Substituting our given data we have

Tan 35 = 400/x

0.4738 = 400/x

make x subject of the formula we have

x = 400/0.4738

x = 844.23 feet

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