Asked by Anokye
A boy 1.5m tall,is 20m away from a tower 30m high.Determine the angle of elevation from his eye to the top of the tower.
Answers
Answered by
Arora
Once you draw the diagram, you can form a triangle to solve the problem.
For this triangle,
Side 1 = base = distance = 20m
Side 2 = height = (30 - 1.5) = 28.5m
Side 3 = hypotenuse
Angle of elevation = θ
From the diagram,
tanθ = height/base
= 28.5/20
= 1.425
θ = arctan(1.425)
= 54.9 degrees
For this triangle,
Side 1 = base = distance = 20m
Side 2 = height = (30 - 1.5) = 28.5m
Side 3 = hypotenuse
Angle of elevation = θ
From the diagram,
tanθ = height/base
= 28.5/20
= 1.425
θ = arctan(1.425)
= 54.9 degrees
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