Mrs. walker is instructing a team of students on designing the sailboat shown. beth is working on the smaller sail, which is a right triangle. she knows the lengths of two sides of the sail. approximately how long should beth make the remaining side of the sail?

a. 6.8 ft
b. 16.8 ft
c. 23.5 ft
d. 26.1 ft

OPTION C.

Step-by-step explanation:

1. To solve this problem you must apply the Pythagorean Theorem, which is shown below:

Where a is the hypotenuse, and b and c are the legs of the triangle.

2. When you solve for one of the legs and substitute values, you obtain that the result is:

The answer is:  C. 23.5 ft.

Since it's a right triangle, we can use the pythagoras theorem:

Where:

According to the image:

So, by substituting we have:

So, the other side is equal to 23.47≅23.5 ft.

Have a nice day!

69

step-by-step explanation:

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.