Question 143

The ratio of the length of a rod and its shadow is $$1:\sqrt3$$. The angle of elevation of the sun is:

Solution

AB is the rod and BC is its shadow. It is given that $$\frac{AB}{BC}=\frac{1}{\sqrt3}$$

Let angle of elevation of sun = $$\angle$$ ACB = $$\theta$$

In $$\triangle$$ ABC,

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

=> $$tan(\theta)=\frac{1}{\sqrt3}$$

=> $$tan(\theta)=tan(30^\circ)$$

=> $$\theta=30^\circ$$

=> Ans - (B)

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