simrantengmali04
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From the top of a tower, the angle of depression to the bottom of a pillar on the same surface of height 20m is 60° If the a angle of depsession from the top of the . pillar to the bottom of the lower is 22. find the height of the tower. ( Ton 220 - 0,4)​

Respuesta :

abidemiokin

The height of the tower is 150 m

To get the height of the tower, we will use the SOH CAH TOA identity as shown:

tan theta = opp/adj

tan 30 = x/CD

CD = x/tan30

Similarly;

tan 60 = x+100/CD

CD = x+100/tan60

Equating both sides CD

x/tan30 = x+100/tan60

x/x+100 = tan30/tan60

x/x+100 = 0.5773/1.732

x/x+100 = 0.3333

x = 0.333x + 33.33

x - 0.333x = 33.33

0.6667x = 33.33

x = 50 m

Height of the tower =  x + 100 = 150m

Hence the height of the tower is 150 m

Learn more on angle of depression here: https://brainly.com/question/10217662

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