Question

a) A statue of height 6 meters stands on the top of a pedestal
From a point on the ground, the angle of elevation of the top
of the statue is 60° and from the same point, the angle of
elevation of the top of the pedestal is 30°. Find the height of
the pedestal
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Answer 1

Answer:

HeYAa ♥️

The height of the pedestal is 12 m.

Step-by-step explanation:

Given data:

Height of statue = 6 m

Top of statue = 60 m

Angle of elevation = 30 degree

Solution:

Tan (30°) = 6 / x

1 / √3 = 6 / x

Tan (60°) = 6 +h / 6√3

√3 = 6 + h / 6√3

6 √3 + √3 = 6 + h

6 x 3 = 6 + h

h = 18 - 6 = 12 m

Hence the height of the pedestal is 12 m.