A man 1.83m tall, stands at a distance of 14.8m away from the base of a tower. He discovers that the angle of elevation of the top of the tower is 63°. Calculate the height of the tower.
Answers
Answer:
answer for the given problem is given
Given : A man 1.83m tall, stands at a distance of 14.8m away from the base of a tower. angle of elevation of the top of the tower is 63°.
To find : height of the tower.
Solution:
Let say height of tower = h m
Horizontal Distance = 14.8 m
Vertical Distance = height of tower - height of man
= h - 1.83 m
Tan (angle of elevation ) = Vertical Distance / Horizontal Distance
=> Tan ( 63° ) = (h - 1.83 )/14.8
=> 1.96 = (h - 1.83 )/14.8
=> 29 = h - 1.83
=> h = 29 + 1.83
=> h = 30.83
height of the tower = 30.83 m
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