A man finds that a point o of an angle of elevation from his eyes to a corner of a flat roof of a building is 25 degrees. when he walks 10 metres from o directly towards the building the angle of elevation of the same roof corner increases to 35 degrees. How far is the point o from the building.
Answers
Given : A man finds that a point o of an angle of elevation from his eyes to a corner of a flat roof of a building is 25 °
when he walks 10 metres from o directly towards the building the angle of elevation of the same roof corner increases to 35°.
To Find : How far is the point o from the building.
Solution:
Let say building height = h
Distance of point o from the building. = d
Tan 25° = h/d
h = d tan25°
Tan 35° = h/(d-10)
h = (d -10)tan35°
(d -10)tan35° = d tan25°
=> d - 10 = d(0.666)
=> 0.334d = 10
=> d = 29.94
the point o from the building. is 29.94 m
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