Maths Trigonometrical Equations and in Equations, Properties of Triangles, Height and Distance NAT Abhiyas Question - Height and Distance Single Correct MCQ
Published on: August 14, 2026

The angle of elevation of an object on a hill is observed from a certain point in the horizontal plane through its base, to be 30°. After walking 120 m towards it on a level ground, the angle of elevation is found to be 60°. Then the height of the object (in metres) is

A
120
B
60
C
120
D
60

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Text Solution

Verified by Experts
The correct answer is:
B

60

In CAD, tan 30° =

...(i)

and in CBD, tan 60° =

….(ii)

From Eqs. (i) and (ii), we get, x = 60 m

On putting x = 60 in Eq.(i), we get

h = 60 m

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