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?

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

----> by CAH (adjacent side divided by the hypotenuse)

see the attached figure to better understand the problem

solve for x

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )