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ACT Math: Trigonometry Drill 5, Problem 5. What is the length of side z?

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Transcript

00:02

Time for your daily dose of shmoop. This won't hurt a bit.

00:06

tan(B) = 5/12. What is the length of side z?

00:11

Choose from these options...

00:16

How do we find this length with the information given? Well... remember our triangle trig ratios?

00:23

Tangent of an angle is the length of the opposite side of the angle over the adjacent side of

00:30

the angle. Okay... Pythagorean Theorem time.

00:33

Five squared plus twelve squared equals z squared.

00:37

25 plus 144 equals z squared.

00:39

169 equals z squared.

00:41

Taking the square root of both sides, we get that 13 equals z, which means B is the correct

00:47

answer. Oh, and one last thing.

00:49

5, 12, 13 is a common right triangle that you should memorize for the test. Don't let

00:54

it ambush you on test day.

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