A window in a building is at a height of 10 m above the ground . the angle of depression of a point p on the ground from the window is 30 degree. the angle of elevation of the top of the building from the point p is 60 degree. find the height of the building
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Answer:
Step-by-step- explanation:
Given- AC = 10m
Let the base AP = x and BC = y
=> In triangle APC
Tan30° = 10/x
1/√3 = 10/x
x = 10√3
=> In triangle APC
Tan60° = QS/x
√3 = 10+y/10√3
3 × 10√3 = 10+y
=> y = 30 - 10
y = 20m
Therefore, The height of the building:
=> QS = 20+ 10
QS = 30m
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