A mountain is located 27 kilometers from a hilltop. From the hilltop, a surveyor determines that the angle of elevation to the top of the mountain is 6∘6∘ and that the angle of depression to the bottom of the mountain is 2∘2∘. How tall is the mountain? Round your answer to the nearest thousandth The degree symbol is ∘ by the way. Help appreciated!
You mean 2.2° and 6.6°?
Omi has the right approach, but I believe the number should be 27 instead of 24
So the height should be
27 [tan(6°) + tan (2°) ] ≈ 3.78 km