Question

From the top of a building 20 meter high, the angle of elevation of the top of a vertical pole is 30°, and the angle of depression of the foot of the same pole is 60°. Find the height of the pole.

Answer 1

Answer: According to me THE ANSWER IS 80/3

Step-by-step explanation:

REFER to the IMAGE CLICKED(BELOW)

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Answer 2

Answer:

The height of the pole H = 40 m

Step-by-step explanation:

From Δ A D E

$\tan\theta = \frac{AD}{DE}$

AD = 20 m & DE = y & $\theta$ = 30°

⇒ $\tan 30 = \frac{20}{y}$

⇒ $y = \frac{20}{\tan30}$ -------- (1)

From Δ A B C

$\tan 30 = \frac{x}{y}$

⇒ x = y $\tan 30$ ----- (2)

Put the value of y in equation 2 from equation 1. we get,

⇒ x = 20

We know that height of the pole is H = 20 + x

Put the value of x in above equation we get,

⇒ H = 20 + 20

⇒ H = 40 m

This is the height of the pole.