Question

A wire extends from the top of a building to the ground, 90 feet away from the building. The wire creates an angle of

Answer 1

Answer:

The correct option is 97 ft.

Step-by-step explanation:

It is given that the wire is 90 feet away from the building.

The required figure is shown below:

Let the length of the wire is AC.

Here, the base is 90 feet and we need to find the value of AC.

$\cos \theta=\frac{\text{Adj}}{\text{Hyp}}$

$\cos 22^{\circ} = \frac{BC}{AC}$

$0.927\approx \frac{90}{AC}$

$AC\approx 97\text{ ft}$ (nearest foot)

Hence, the correct option is 97 ft.