A surveyor measures the angle of elevation to a point on a mountain to be 15 degrees. The point on the mountain is horizontally 6 miles away from the surveyor. The vertical change in elevation from the point where the surveyor is standing to the point on the mountain is ____ miles. (Round your answer to the nearest hundredth of a mile.)

Is it 1.61?

Question

A surveyor measures the angle of elevation to a point on a mountain to be 15 degrees. The point on the mountain is horizontally 6 miles away from the surveyor. The vertical change in elevation from the point where the surveyor is standing to the point on the mountain is ____ miles. (Round your answer to the nearest hundredth of a mile.)

Is it 1.61?

anonymous · Answer

Yes, $$6 \tan (15 {}^{\circ}) $$