Angle of elevation of top of vertical cliff as seen from boat 120m away is 32degrees. Angle of elevation of top of flagpole at edge of cliff as seen from boat is 37degrees. Find the height of flagpole?

1 answer

Answer

1247904

2026-03-24 09:45

+ Follow

Tangent(theta) is sine over cosine, or y over x. x is 120. Theta is 32 and 37. y1 is height of cliff, and y2 is height of cliff plus flagpole.

Tan(32) = y1 / 120, so y1 = 120 tan(32) = 75.

Tan(37) = y2 / 120, so y2 = 120 tan(37) = 90.

Height of flagpole is y2 - y1 = 90 - 75 = 15.

All results rounded to nearest integer.

ReportLike(0ShareFavorite

Copyright © 2026 eLLeNow.com All Rights Reserved.