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09-02-2021
Mathematics

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A 381 foot cable runs from the top of a radio tower to a skate in the ground. If it hits the ground 167 feet from the base of the tower , what is the angle of elevation that is makes with the ground?

Respuesta :

10-02-2021

Answer:

64°

Step-by-step explanation:

Using Pythagoras rule :

Cosθ = adjacent / hypotenus

Adjacent = 167

Hypotenus = 381

Cosθ = 167 / 381

Cosθ = 0.4383202

θ = Cos^-1(0.4383202)

= 64.003

Hence, angle of elevation = 64°

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