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 = AC/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°

☛ Related Questions:

• If √3 tan θ = 1, then find the value of sin2 θ – cos2 θ
• A ladder 15 metres long just reaches the top of a vertical wall. If the ladder makes an angle of 60° . . . .
• Simplify (1 + tan2 θ) (1 – sinθ) (1 + sinθ)