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

Question

3 years ago

9

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

Mathematics

2 answers:

taurus [48] · Answer 1 · 2022-03-08T21:59:34+03:00

Answer:

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:

$sin(40) = \frac{AC}{10}\\ \\AC = 10sin(40)$

gogolik [260] · Answer 2 · 2022-03-08T23:57:15+03:00

gogolik [260]3 years ago

5 0

Answer:

a.) (10)sin(40°) = AC

Step-by-step explanation:

answer on edge ^

hope this helps!!!