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A 200 ft supporting cable is tied to the top of a cell phone tower then secured to a point on the ground. if the angle of elevation from the point on the ground to the top of the tower is 38°, find the height of the tower

Respuesta :

Answer:

height of the tower  is 123.132 ft

Step-by-step explanation:

given data

length of cable = 200 ft

angle of cable = 38°

solution

As figure attach

here x is height of height of the tower

we apply here sin(θ) to get the height of tower that is

sinθ  = [tex]\frac{CB}{AC}[/tex]     .................1

put here value and we get

sin 38  = [tex]\frac{x}{200}[/tex]      

0.61566 =  [tex]\frac{x}{200}[/tex]  

solve it we get

x = 123.132 ft

so height of the tower  is 123.132 ft

Ver imagen DeniceSandidge

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