Two people are swinging a jump rope. The height of the middle of the rope, in inches, can be modeled by a cosine function with an amplitude of 36 inches. If the minimum point that the middle of the rope reaches is 3 inches above the ground, what is the maximum point that the middle of the rope reaches? A.
75 inches
B.
39 inches
C.
36 inches
D.
72 inches

B. 39 inches

Step-by-step explanation:

The amplitude is the difference between the function's maximum and minimum values.

3 in. + 36 in. = 39 in.

B. 39 inches

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3