Question 101

The angle of elevation of the Sun when the length of the shadow of a pole is equal to its height, is

Solution

Height of pole AB = Length of shadow BC = $$x$$

In $$\triangle$$ ABC,

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

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

=> $$tan\theta=1$$

=> $$\theta=tan^{-1}(1)=45^\circ$$

=> Ans - (C)


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