Question

The angle of depression of a car parking on the road from the top of a 150 m high tower is 30 degree the distance of the car from the tower in metre is

Answer 1

This could be the required answer. ☝️

Answer 2

Answer:

• The distance of car from the tower is 150√3 m.

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Step-by-step explanation:

Given,

• The angle of depression of acar parked on the road from the top of 150 m high tower is 30°

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To Find:

• The distance of car from the tower is

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Solution:

• Let AB = 150 m be the height of the tower

DAC = 30°,

ACB = 30° (alternate angles)

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In right traingle ABC,

$: \implies \sf \dfrac{AB}{BC} = tan30° \\ \\ : \implies \sf \frac{150}{BC} = \frac{1}{ \sqrt{3} } \\ \\ : \implies \sf \: \: BC = 150 \sqrt{3}$

Hence,

• The distance of car from the tower is 150√3 m.

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