Question

A bear is directly opposite a tent on the other side of a river. A campfire is on the same side of the river as the tent. A right triangle is formed from lines connecting the bear, the tent, and the campfire with the right angle at the tent. The lines from the bear to the tent and from the bear to the campfire form a 33° angle. If the bear is 60 feet from the tent, how far is the campfire from the tent? Round your answer to the nearest foot.


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(1 point)
The campfire is feet from the tent.

Answer 1

Let B = bear, T = tent, C = campfire. Triangle BTC is right at T, and angle at B = 33°. So

TC = BT * tan(33°) = 60 * tan(33°) ≈ 60 * 0.6494076 ≈ 38.96 ≈ 39 feet.

The campfire is about 39 feet from the tent.