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.

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.

jdoe0001 · Answer

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