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.
1 answer:
The distance between the two buildings is 844.23 feet apart, we go this answer by simply applying the SOH CAH TOA method
<h3>Trigonometry</h3>
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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