Answer:
Length of ladder is 20.521 feet
Step-by-step 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
[tex]Cos \theta = \frac{Base}{Hypotenuse}[/tex]
[tex]Cos 73^{\circ}= \frac{6}{AC}[/tex]
[tex]AC= \frac{6}{Cos 73^{\circ}}[/tex]
[tex]AC=20.521[/tex]
Hence Length of ladder is 20.521 feet
