Find the length of side w.

Mathematics

1 answer:

9966 [12]3 years ago

4 0

Hey there! I'm happy to help!

To find this other side given an angle and a side, we will use a trigonometric function. The three basic ones are sine, cosine, and tangent. You can remember these and what what they are using the mnemonic "soh cah toa".

SOH: Sine= Opposite/Hypotenuse

CAH: Cosine= Adjacent/Hypotenuse

TOA: Tangent= Opposite/Adjacent

We see that the sides involved are the opposite and hypotenuse.

Therefore, we can write this equation.

sin40= w/28

We multiply both sides by 28 to isolate the w.

28×sin40=w

Now, we find the sine of 40 on our calculator and then we multiply it by 28.

w≈18

Therefore, the answer is 18 cm.

I hope that this helps! Have a wonderful day!

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