Question

Need some help with this question please

Answer 1

`(15)/(17)`

Explanation:

• 
  `\cos( \alpha ) = (ad)/(hip) \\ \\ \sin( \alpha ) = (op)/(hip)`

Pythagorean theorem

hip² = op² + ad²

17² = x² + 8²

x² = 17² - 8²

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

`\sin( \alpha ) = - (15)/(17)`

`\sin( - \alpha ) = (15)/(17)`