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A fire ranger on a 150 ft. tall tower spots a fire at a 30-degree angle of depression. About how many feet away from the tower is the fire?

Respuesta :

The tower is 260 feet away from the fire.

How to apply trigonometric function?

The height of the tower is the opposite side while the distance from the tower to the fire is the adjacent side.

Given:

Angle of depression = 30°.

Opposite side = 150 feet.

Now,

tan [tex]\thtea\\[/tex][tex]\theta[/tex]= P/B

tan 30 [tex]\thtea\\[/tex]= 150/B

1/√3= 150/B

B=  150*√3

B= 150*1.732

B= 259.8

B= 260 feet.

Hence, the tower is 260 feet away from the fire.

Learn more about trigonometry here:

brainly.com/question/20519838

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