Question

Find the angle of depression of an observer 100 root 3cm tall, looks at the tip of his shadow which 1m from his foot

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Answer 1

Answer:

The angle of depression is 60°

Step-by-step explanation:

given that,

height of the person⇒100√3

length of his shadow⇒1 m⇒100 cm

Let the angle of depression be θ

tanθ⇒opposite side ÷adjacent side

tanθ⇒100√3÷100

tanθthere fore angle of depression ⇒60 degrees

Answer 2

The angle of depression is 60°

Step-by-step explanation:

Height of observer = Perpendicular = $100\sqrt{3}$ cm

Length of shadow =Base = 1 m = 100 cm

$Tan \theta = \frac{Perpendicular}{Base}$

$Tan \theta = \frac{100\sqrt{3}}{100}$

$Tan \theta = \sqrt{3} \\\theta = tan^{-1}\sqrt{3} \\\theta = 60^{\circ}$

Hence The angle of depression is 60°

#Learn more:

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?​

https://brainly.in/question/8191166