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2 years ago

A power line is connecting the top of a building to the ground 260 meters away from the base

Mathematics

1 answer:

djverab [1.8K]2 years ago

4 0

Answer:

Angle of the wire connected at the building ( angle of depression ) is 40.119°

Step-by-step explanation:

Please refer to the attached figure.

Lets say Tower in figure is represented by AB.

Distance between base of tower and power line ground point is represented by AC = 260 meters

length of the wire that is power line is represented by BC = 340 meters

Angle of depression = ∠DBC = ∠BCA = x [ Alternate interior angles ]

consider triangle BAC right angled at A.

cos(x) = (Adjacent side AC)/(Hypotenuse Side BC ) = 260/340 = 0.7647

x = cosinverse ( 0.7647 ) = 40.119°

Hence Angle of the wire connected at the building ( angle of depression ) is 40.119°

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