The height of a radio tower is 650 feet, and the ground on one side of the tower slopes upward at an angle of 10°.
(a) how long should a guy wire be if it is to connect to the top of the tower and be secured at a point on the sloped side 180 feet from the base of the tower?
(b) how long should a second guy wire be if it is to connect to the middle of the tower and be secured at a point 180 feet from the base on the flat side?

Answer with Step-by-step explanation:

We are given that

Height of radio tower =650 ft

From figure

AB=650 ft

BC=180 ft

We have to find the AC.

Using cosine law:

Hence, a guy required 643.64 ft wire when it is to connect to the tower and be secured at  a point on the sloped side 180 ft from the base of the tower.

b.In a right triangle ABC, AB=

Pythagorous theorem :

Substitute the values

Hence, the length of wire should be 371.52 ft when a second guy connect  the middle of the tower and be secured at a point 180 ft from the base on the flat side by wire.

ask the math teacher she or he would know lol.

step-by-step explanation: