Answer:
[tex]\large\boxed{y=76.3359\ cm\approx76.3\ cm}[/tex]
Step-by-step explanation:
Use cosine:
[tex]cosine=\dfrac{adjacent}{hypotenuse}[/tex]
We have
[tex]adjacent=73\ cm\\hypotenuse=y[/tex]
and the angle 17°.
[tex]\cos17^o\approx0.9563[/tex]
Substitute:
[tex]\dfrac{73}{y}=0.9563[/tex] convert the decimal to the fraction
[tex]\dfrac{73}{y}=\dfrac{9563}{10000}[/tex] cross multiply
[tex]9563y=730000[/tex] divide both sides by 9563
[tex]y=\dfrac{730000}{9563}[/tex]
[tex]y\approx76.3359[/tex]
