Pyth Thm and Trig Word Problems

Question

A meteorologist measures the angle of depression of a weather balloon as 53°. A radio signal from the balloon indicates that it is 1680 feet from his receiver. How high is the weather balloon from the ground? Round to the nearest hundredth.

Answer 1

will use sin rule, which is tan θ= opposite ÷ adjacent of the triangle.

angle of depression is 53 so inside alternate angle is also 53., with adjacent side length of 1680.

so find tan 53 degrees = 1.327

multiply it with adjacent side length of 1680 = 2229.44