Question

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

Answer 1

A

Step-by-step explanation:

Answer 2

AC = 10sin(40°)

Step-by-step 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:

`sin(40) = (AC)/(10)\\ \\AC = 10sin(40)`