Given: △prs, rs=10 m∠p=45°, m∠s=60° find: perimeter of △prs

The law of sines can be used to find the missing side lengths.

... RP = sin(60°)/sin(45°)·10 = 10√(3/2) ≈ 12.247

... PS = sin(75°)/sin(45°)·10 ≈ 13.660

Then the perimeter is

... perimeter = RS + RP + PS

... = 10 + 12.247 + 13.660 ≈ 35.91 . . . .units

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

answer:

c. the third graph