Answer to Question #12210 in Trigonometry for Sweety pendleton

Question

from the top of a building the angles of depression of the top of the base of a lamppost, located a distanse away were measured and found to be 58 degrees and 75 degrees,respectively if the building is 90 feet high.Find the height of the lamp post

Answer 1

Distanse to lamp post is w=90/tan75
Also tan58=(90-h)/w, where h is height

So h=90(1-tan58/tan75)=-51.407