From the top of a tower which is 333 m high, the angle of depression of two sides of a bridge lying on a ground are 60° and 30° (both ends of the bridge are on the same side of the tower). Find the length of the bridge.?

333√3 meters
222√3 meters
111√3 meters
222√2 meters

LohaHridoy

8 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 2 : 222√3 meters

Calculation:

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In a triangle ABD,

⇒ tan 60° = AB/BD = 333/BD

⇒ √3 = 333/BD

⇒ BD = 111√3 meters

In a triangle ABC,

⇒ tan 30° = AB/BC = 333/BC

⇒ (1/√3) = 333/BC

⇒ BC = 333√3

⇒ DC = BC – BD = 333√3 - 111√3

⇒ DC = 222√3 meters.

∴ The length of the bridge is 222√3 meters.

8 views Answered 2022-09-04 04:29

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