Question

find the angle of elevation of the sun when the shadow of a pole h metres high is root 3h metres long

Answer 1

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Answer 2

Answer:

The angle of elevation of the sun = 30°

Step-by-step explanation:

Angle of elevation:

• The angle of elevation is an angle formed between the horizontal line and the line of sight.

• According to the given data

         We draw a right-angled triangle ABC

Given,

Height of the pole AC = h meters

Shadow if the pole is the base of the triangle BC = $\sqrt{3}h$ meters

 Let the angle of elevation = θ

  from the triangle ABC,

    we can write

       tanθ = AC/BC

       tanθ = h/$\sqrt{3}h$

       tanθ = 1/$\sqrt{3}$

            θ = tan⁻¹(1/$\sqrt{3}$)

            θ = 30°

Hence, the angle of elevation = 30°

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