SOLUTION: A forest ranger spots a fire from a 28-foot tower. The angle of depression from the tower to the fire is 11 degrees. To the nearest foot how far is the fire from the base of the to
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-> SOLUTION: A forest ranger spots a fire from a 28-foot tower. The angle of depression from the tower to the fire is 11 degrees. To the nearest foot how far is the fire from the base of the to
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Question 1022985: A forest ranger spots a fire from a 28-foot tower. The angle of depression from the tower to the fire is 11 degrees. To the nearest foot how far is the fire from the base of the tower? Show the steps you use to find the solution. Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! The angle of depression is equal to the angle from the fire on the ground to the tower.
Make a triangle with a base of distance x and height of 28 feet.
Thus we can use our trig relation
tan 11 = 28/x
and
x = 28/tan 11 = 144 feet
