4.) the level of the top of the water in the ocean is considered to be at an altitude of zero feet, a
diver is located at 5 feet at that same site. the ocean floor is located at 10 feet. the captain of
a boat is located at an altitude of 15 feet above the top of the water.
which of the following statements is true?
a. the distance from the captain to the diver is greater than the distance from the top of the
water to the diver.
b. the distance from the captain to the top of the water is the same as the distance from the diver
to the ocean floor.
c. the distance from the captain to the diver is less than than the distance from the top of the
water to the ocean floor.
d. both the captain and the diver are equal distances from the top of the water.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.