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mihalych1998 [28]
2 years ago
14

Roger the park ranger was standing in a look out tower that was 200 ft tall. Looks down, sees a fire. Angle of depression is 7 d

egrees. How far is fire from base of tower?
Mathematics
1 answer:
Ainat [17]2 years ago
8 0

Answer:

approx. 24.6 ft

Step-by-step explanation:

x=the distance of the fire from the base of the tower

200ft=the height of the tower

7 degrees=the angle of depression

Using these values you can draw a diagram that highlights that you need to use trig. to work out the answer.

Using Tan:

Tan 7=x/200 ft

multiply both sides by 200 ft

200*tan 7=24.55691218

approx. 24.6 ft

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