Question

A guy wire supports a cell-phone tower. The guy wire makes a 55° angle with the ground and touches the ground 34 ft from the base of the tower.

What is the length of the guy wire, rounded to the nearest feet?

20 ft

28 ft

49 ft

59 ft

Answer 1

Answer: 59 I just took the test!

Explanation:

Answer 2

Option D. 59 ft is the answer.

Explanation:

The guy wire makes an angle of 55° with the ground and touches the ground 34 ft from the base of the tower.

We have to find the length of guy wire.

From the given triangle

cos 55 =
`(Base)/(Hypotenuse)=(34)/(x)`

`0.5736=(34)/(x)`

`x = (34)/(0.5736)=59.27 ft`

Length of the guy wire is 59 ft

Option D is the correct option.