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A buoy is floating in the sea and can be seen from the top of a vertical cliff. A boat is travelling from the base

of the cliff directly towards the buoy. The top of the cliff is 142 m above sea level. The angle of depression

from the top of the cliff to the buoy is 40 degrees.

Respuesta :

abidemiokin

Answer:

169.23m

Step-by-step explanation:.

Let's calculate the base of the cliff. Using SOH CAH TOA identity

Height (opposite) = 142n

Angle of depression = 40°

Required

Base of the cliff

Tan theta = opposite/adjacent

Tan 40 = 142/x

x = 142/tan40

x = 142/0.8391

x = 169.23m

Hence the base of the cliff is 169.23m long

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