A wire extends from the top of a building to the ground, 90 feet away from the building. The wire creates an angle of elevation of 22 degrees with the ground. How long is the wire, to the nearest foot?
36 ft
97 ft
223 ft
90 ft

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.

(nearest foot)

Hence, the correct option is 97 ft.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).