When driving west toward the Rocky Mountains, you see a peak 2.6 ∘ above the horizon. Your GPS gives your current elevation as 1490 m , and according to the map, you're 25.0 km (horizontally) from the peak.

Question

When driving west toward the Rocky Mountains, you see a peak 2.6 ∘ above the horizon. Your GPS gives your current elevation as 1490 m , and according to the map, you're 25.0 km (horizontally) from the peak.
Find the peak's elevation.

I thought it would be 1490+25000=26490
26490 tan(2.6)= 15936

Damon · Answer

1490 + 25,000 tan 2.6 = h h = 1490 + 1135 h = 2625 meters

julia · Answer

how do you get the 1135? I must not be calculating something correct