3 years ago

Find the length of side y

Mathematics

1 answer:

Serggg [28]3 years ago

8 0

Answer:

$\large\boxed{y=76.3359\ cm\approx76.3\ cm}$

Step-by-step explanation:

Use cosine:

$cosine=\dfrac{adjacent}{hypotenuse}$

We have

$adjacent=73\ cm\\hypotenuse=y$

and the angle 17°.

$\cos17^o\approx0.9563$

Substitute:

$\dfrac{73}{y}=0.9563$ convert the decimal to the fraction

$\dfrac{73}{y}=\dfrac{9563}{10000}$ cross multiply

$9563y=730000$ divide both sides by 9563

$y=\dfrac{730000}{9563}$

$y\approx76.3359$

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