Question

The base of a ladder is 6ft from the building and the angle formed by a ladder and the ground is 73 degrees

Answer 1

Length of ladder is 20.521 feet

Explanation:

Given :The base of a ladder is 6 ft from the building and the angle formed by a ladder and the ground is 73 degrees

To Find : Length of ladder

Solution :

Refer the attached figure

The base of a ladder is 6 ft from the building i.e. CB = 6 feet

The angle formed by a ladder and the ground is 73 degrees i.e. ∠ACB = 73°

We are supposed to find the length of ladder i.e. AC

`Cos \theta = (Base)/(Hypotenuse)`

`Cos 73^(\circ)= (6)/(AC)`

`AC= (6)/(Cos 73^(\circ))`

`AC=20.521`

Hence Length of ladder is 20.521 feet