Question

From point P, which is at sea level, the elevation of the top of a volcano is found to be 50 degrees. after walking to point Q, 200 m from P, up a slope inclined at 20 degrees to the horizontal the elevation of the top of a volcano is found to be 60. calculate the height of the top of the volcano above sea level to the nearest metre.

Answer 1

if you see in the picture
the triangle including the volcano and the smaller triangle only including point P, have 2 angles that are equal, 50 and 90 degrees, thus they're similar

if we find the opposite side of the smaller triangle, we can use that as a ratio