Question:
The angle of the elevation between a point on the ground 30 feet from a building and the top of the building is 42 degree. Find the height of the building.
Answer:
Let AB is the height of the building.
From triangle ABC,
tan 42° = AB/BC
=> tan 42° = AB/30
=> AB = 30 * tan 42°
=> AB = 30 * 0.90004 {since tan 42° = 0.9004}
=> AB = 27.012
So, the height of the building is 27.012 feet
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