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Ghella [55]
3 years ago
8

Need some help with this equation

Mathematics
1 answer:
Aleks04 [339]3 years ago
7 0

Hello!

It seems that you only need to find the adjacent side to our angle, and the hypotenuse. First of all, let's use the sine to find the hypotenuse.

sin31≈0.52

This gives us the equation below.

0.52=14/x

Let's solve this equation.

0.52x=14

x≈26.92

We could use the Pythagorean Theorem to find the other side, but let's stick to using trigonometric ratios. Let's use the tangent as 14 is more exact than our hypotenuse length.

tan31≈0.6

This gives us the equation below.

0.6= 14/x

0.6x=14

x≈23.33

Therefore, our lengths are shown below.

b≈23.33 (Leg)

c≈ 26.92 (Hypotenuse)

I hope this helps!

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