Answer:
[tex] \frac{15}{17} [/tex]
Step-by-step explanation:
- [tex] \cos( \alpha ) = \frac{ad}{hip} \\ \\ \sin( \alpha ) = \frac{op}{hip} [/tex]
Pythagorean theorem
hip² = op² + ad²
17² = x² + 8²
x² = 17² - 8²
[tex]x \: = \sqrt{{17}^{2} - {8}^{2} } \\ x = \sqrt{289 - 64} \\ x = \sqrt{225} \\ x = 15[/tex]
[tex] \sin( \alpha ) = - \frac{15}{17} [/tex]
[tex] \sin( - \alpha ) = \frac{15}{17} [/tex]
