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Savatey [412]
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]3 years ago
5 0

<u><em>Answer:</em></u>

AC = 10sin(40°)

<u><em>Explanation:</em></u>

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

<u>These functions are as follows:</u>

sin(θ) = opposite / hypotenuse

cos(θ) = adjacent / hypotenuse

tan(θ) = opposite / adjacent

<u>Now, in the given diagram:</u>

θ = 40°

AC is the side opposite to θ

AB = 10 in is the hypotenuse

<u>Based on these givens</u>, we will use the sin(θ) function

<u>Therefore:</u>

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

gogolik [260]3 years ago
5 0

Answer:

a.) (10)sin(40°) = AC

Step-by-step explanation:

answer on edge ^

hope this helps!!!

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