MCQ
A pole $10m$ high cast a shadow $10m$ long on the ground, then the sun’s elevation is :
- A$15^\circ$
- ✓$45^\circ$
- C$30^\circ$
- D$60^\circ$
✓
Answer
Correct option: B.
$45^\circ$
Let the lenght of the shadow $BC$ be $10$ meters.
Then the height of the pole $AB$ is $10$ meter.
$\therefore\tan\theta=\frac{\text{AB}}{\text{BC}}$
$\Rightarrow\tan\theta=\frac{10}{10}$
$\Rightarrow\tan\theta=1$
$\Rightarrow\tan\theta=\tan45^\circ$
$\Rightarrow\theta=45^\circ$
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