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A mountain is 4 meters highbthe the angle of depression of an object from the top of the mountain is 30 depression. If the object is on the ground as the foot of the mountain,calculate the distance of the object and the foot of the mountain

Sagot :

olumideolawoyin

Answer:

6.9

Step-by-step explanation:

The angle of depression of object from the top of the mountain = angle of elevation of the top of the mountain from the object = 30⁰ ( alternate angles ).

Let x be the distance of the object and the foot of the mountain

Given that the height of the mountain is 4m, then

using Trigonometric ratio,

tan 30⁰ = 4 / x

x = 4/tan 30⁰

x = 6.9282

x = 6.9 to the nearest tenth.

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