A20-ft-long wire is used to support a television antaans. the wire is connected to the
antenna 15 ft above the ground. how far away from the base of the tower will the other
end of the wire be located?

The distance of base of wire to the base of tower is 13.27 ft

Step-by-step explanation:

Given as :

The measure of wire connected between base ad antenna top = 20 ft

The wire is connected to the  antenna on tower at height h = 15 ft above the ground

Let The distance of base of wire to the base of tower = x ft

Let the angle drawn on ground = Ф

Now, According to question

In figure AOB

Sin angle =

i.e SinФ =

Or,  SinФ =

Or,  SinФ =

Or, SinФ =

or, Ф =

∴ Ф = 48.5°

Now, Again from figure

Tan angle =

i.e TanФ =

Or, Tan 48.5° =

Or, 1.13 =

∴ x =

i.e x = 13.27 feet

So, The distance of base of wire to the base of tower = x = 13.27 ft

Hence, The distance of base of wire to the base of tower is 13.27 ft Answer