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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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