Question 131

At an instant, the length of the shadow of a pole is , √3 times the height of the pole. The angle of elevation of the Sun at that moment is

Solution

Let height of pole = AB = $$h$$

Length of shadow = BC = $$x$$

Angle of elevation of sun = $$\angle$$ACB = $$\theta$$ = ?

Acc to ques : $$x = \sqrt{3} h$$

In $$\triangle$$ABC

=> $$tan \theta = \frac{AB}{BC}$$

=> $$tan \theta = \frac{h}{x}$$

=> $$tan \theta = \frac{h}{\sqrt{3} h} = \frac{1}{\sqrt{3}}$$

=> $$\theta$$ = 30°

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