Question on: JSS3 Mathematics - Trigonometric Ratios
An observer stands 40 meters away from a building and looks up at an angle of elevation of 35 degrees. Find the height of the building.
Given:
Horizontal distance (adjacent side, adj) = 40 meters
Angle of elevation (Īø) = 35 degrees
To find the height (opposite side, opp):
tan(35ā)=opp40
opp=40ā tanā”(35ā)
Using a calculator: tanā”(35ā)ā0.7002
oppā40ā 0.7002=28.01Ā meters
So, the height of the building is approximately 28.01 meters.
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