To solve this problem, we can create a right triangle where the distance from the base of the tower to the fire is the hypotenuse, the height of the tower is the opposite side, and the distance from the tower to the fire along the ground is the adjacent side.
Using trigonometry, we can use the tangent function:
tan(12°) = opposite/adjacent
tan(12°) = 45/adjacent
adjacent = 45/tan(12°)
adjacent ≈ 217 meters
Therefore, to the nearest meter, the fire is approximately 217 meters from the base of the tower. The closest response is 216 meters.
A ranger spots a forest fire while on a 45-meter observation tower. The angle of depression from the tower to the fire is 12°. To the nearest meter, how far is the fire from the base of the tower?%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A212 meters%0D%0A212 meters%0D%0A%0D%0A10 meters%0D%0A10 meters%0D%0A%0D%0A216 meters%0D%0A216 meters%0D%0A%0D%0A71 meters
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