Question

Benjamin is putting a fence around a right triangular garden. He has already used 12 ft of
fencing for one side of the garden, which makes an angle of 65º with the longest side of the
garden. To the nearest hundredth, how many feet of fencing will Benjamin need for the longest
side?

Answer 1

Answer:

Benjamin need 28.39 feet of fencing for the longest  side

Step-by-step explanation:

Let

x ---->  the longest  side of the right triangular garden (hypotenuse of the right triangle)

we know that

In the right triangular garden

$cos(65^o)=\frac{12}{x}$ ----> by CAH (adjacent side divided by the hypotenuse)

see the attached figure to better understand the problem

solve for x

$x=\frac{12}{cos(65^o)}$

$x=28.39\ ft$