Which equation can be used to find the length of line segment a c? triangle a b c is shown. angle a c b is 90 degrees and angle a b c is 40 degrees. the length of hypotenuse a b is 10 inches, the length of a c is b, and the length of c b is a. (10)sin(40o) = ac (10)cos(40o) = ac startfraction 10 over sine (40 degrees) endfraction = ac startfraction 10 over cosine (40 degrees) endfraction = ac

AC = 10sin(40°)

Explanation:

The diagram representing the question is shown in the attached image

Since the given triangle is a right-angled triangle, we can apply the special trig functions

These functions are as follows:

sin(θ) = opposite / hypotenuse

cos(θ) = adjacent / hypotenuse

tan(θ) = opposite / adjacent

Now, in the given diagram:

θ = 40°

AC is the side opposite to θ

AB = 10 in is the hypotenuse

Based on these givens, we will use the sin(θ) function

Therefore:

-3.5 degrees per hour

step-by-step explanation:

find the unit rate:

-12   1/4 degrees           12.25 degrees

= - = -3.5 degrees per hour

      3   1/2 hours               3.5 hours