Question

If the length of the shadow of a pole is root 3 times the height of the pole, then calculate the angle of elevation of the sun?

Answer 1

30 degree is the angle of elevation of the sun

Answer 2

Answer:

FIGURE IS IN THE ATTACHMENT]

SOLUTION:

Let the height of the pole ( AB) = h .

Length of the shadow (BC ) = √3h

Let ϴ denotes the angle of elevation of the Sun.

In ∆ ABC , tan ϴ = perpendicular/base

tan ϴ = AB /BC

tan ϴ = h / √3 h.

tan ϴ = 1/√3

tan ϴ = tan 30°

ϴ = 30 °

Hence , the angle of elevation of the Sun is 30 °.

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