Madhya Pradesh Police Exam Model Paper 10

Question : 85 of 100

Marks: +1, -0

What will be the height of the building from a point 25 m away from the base of the building if the angle of elevation of the top of building from that point is 30°?

25/√3 m
25 m
√3 m
√3/25 m

Validate

Solution:

Given:
The angle of elevation = 30°
Distance between point and base of building = 25 m
Concept used:
In a right-angled triangle
tanθ = perpendicular/base
Calculation:
Let the height of the building be ‘h’.

tanθ = perpendicular/base

⇒ tan30° = h{/}25

⇒ 1{/}√3 = h{/}25

⇒ h = 25{/}√3

∴ The height of the building is $25{/}√3$ .

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