Answer to Question #167213 in Trigonometry for Ramneet

Question

Faraz installed a satellite dish on the roof his house. If Faraz (whose eye height is 1.7m) is standing 20 feet from the house and the angle between his line of sight and the top of the dish is 460 how high is the dish from the ground?

Answer 1

Suppose that Faraz is standing directly below the satellite dish on the roof of his house. Then let x denote the distance between the eye height and the satellite dish on the roof of Faraz' house.

Then, we have that $x = 20 \tan 46 = 20(1.0355) = 20.71m$

So therefore the height of the dish from the ground is $1.7 +20.71 = 22.41m$