Answer to Question #170693 in Trigonometry for sherly Centeno

Question

A radio transmission tower is 220 feet tall. How long should a guy wire be if it is to be attached 15 feet from the top and is to make an angle of 33° with the ground?

Answer 1

Using Sine rule, $sinx=\frac{opposite}{hypothenuse}$ ,

Since the wire is attached 15 feet from the top, this implies that

$opposite = 220-15=205feet$

Given $x=33^0$ , using the formula above, we have that

$hypothenuse=\frac{205}{sin(33)}$ ,therefore

$hypothenuse =376.396feet$