# Find the angle of elevation of the sun when the shadow of a pole h metres high is √3 h metres long

**Solution:**

From the figure

In triangle ABC

tan θ = opposite/adjacent

tan θ = AB/BC

Substituting the values

tan θ = h/√3 h

tan θ = 1/ √3 = tan 30°

So we get

θ = 30°

Therefore, the angle of elevation is 30°.

**✦ Try This:** If the height of a vertical pole is equal to the length of its shadow on the ground, the angle of elevation of the sun is a. 0°, b. 30°, c. 45°, d. 60°

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 8

**NCERT Exemplar Class 10 Maths Exercise 8.3 Problem 8**

## Find the angle of elevation of the sun when the shadow of a pole h metres high is √3 h metres long

**Summary:**

The angle of elevation of the sun when the shadow of a pole h metres high is √3 h metres long is 30°

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