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The shadow length of a vertical pillar is the same as the height of the pillar, then the angle of elevation of the sun is

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45^{\circ}

30^{\circ}

60^{\circ}

50^{\circ}

answer is A.

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Detailed Solution

Given, the shadow length of a vertical pillar is the same as the height of the pillar .
We have to find the angle of elevation of the sun.
We know that,

tanθ = \frac{Opposite Side}{Adjacent Side}

Let

BC

be a tower with height

h m

. Then according to question, its shadow length

AB

will be

h m

.
Let angle of elevation

= θ

In right angled

ΔABC

, we have,

tanθ = \frac{BC}{AB}

\Rightarrow tanθ = \frac{h}{h}

\Rightarrow tanθ = 1

\Rightarrow tanθ = \tan 45^{\circ}

[

∵ \tan 45^{\circ}

=1]

\Rightarrow θ = 45^{\circ}

Hence, the angle of elevation is

45^{\circ}

.
Therefore, the correct option is 1.

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