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adoni [48]
3 years ago
12

Need some help with this question please

Mathematics
1 answer:
Serggg [28]3 years ago
4 0

Answer:

\frac{15}{17}

Step-by-step explanation:

  • \cos( \alpha )  =  \frac{ad}{hip}  \\  \\  \sin( \alpha )  =  \frac{op}{hip}

Pythagorean theorem

hip² = op² + ad²

17² = x² + 8²

x² = 17² - 8²

x \:  =  \sqrt{{17}^{2}  -  {8}^{2} }  \\ x =  \sqrt{289 - 64}  \\ x =  \sqrt{225}  \\ x = 15

\sin( \alpha )  =   - \frac{15}{17}

\sin( -  \alpha )  =  \frac{15}{17}

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