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ACT Math 4.3 Trigonometry 242 Views


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ACT Math: Trigonometry Drill 4, Problem 3. What is the length of side b?

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Transcript

00:02

Here's your shmoop du jour...

00:05

The sin of angle A equals 4/9. What is the length of side B?

00:09

And here are your options...

00:13

We know that the sin of an angle equals the opposite side divided by the hypotenuse. Here,

00:18

the sin of A equals 4/9, which means that a = 4 and c = 9. Now we just need to find B

00:24

We can do that by using the Pythagorean theorem...which

00:27

is A squared plus B squared equals C squared. We plug the values in, and get that 4 squared

00:32

plus B squared equals 9 squared. 16 plus B squared equals 81.

00:37

Subtract 16 from both sides, and we get that B squared equals 65.

00:42

Take the square root of both sides, and we have that B equals the square root of 65.

00:47

Which is answer choice C.

00:48

Easy.

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