Question

find the angle of depression if an observer 150 cm talls looks at his tip of the shadow which is 150 root 3 from his foot?​

Answer 1

$\huge\mathfrak{Solution:-}$

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Answer 2

Answer:

The angle of depression is 30°.

Step-by-step explanation:

Let the angle of depression of the observer $\theta$,

⇒ The angle of elevation of the tip from the observer $\theta$,

Since, by the below diagram,

$tan\theta = \frac{\text{The height of observer}}{\text{The length of shadow}}$

$tan\theta = \frac{150}{150\sqrt{3}}$

$tan\theta = \frac{1}{\sqrt{3}}$

$\implies \theta = 30^{\circ}$,

Hence, the angle of depression is 30°.