A guy wire is attached to a cell tower. The 50-foot long guy wire is attached to a tower such that the angle formed by the ground and the wire measures 35°. The guy wire is replaced by a guy wire 120 feet long. The point at which the new guy wire attaches to the tower is the same as it was with the original wire. What is the approximate measure of the angle formed by this new guy wire and the ground?

A) 9.2 Degrees
B) 11.7 Degrees
C) 13.8 Degrees
D) 22.9 Degrees

Respuesta :

Answer:

13.8°

Step-by-step explanation:

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The measure of the angle formed by this new guy wire and the ground is 13.8°

What is trigonometric ratio?

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the tower, hence:

sin(35) = h/50

h = 28.68 feet

For guy wire 120 feet long:

sinФ = 28.68 / 120

Ф = 13.8°

The measure of the angle formed by this new guy wire and the ground is 13.8°

Find out more on trigonometric ratio at: https://brainly.com/question/24349828