Question

please help me I truly dont understand this question also this is not college work this is for middle school

Answer 1

To answer this question we need to remember the definition of the trigonometric functions:

`\sin \theta=\frac{\text{opp}}{\text{hyp}}`
`\cos \theta=\frac{\text{adj}}{\text{hyp}}`
`\tan \theta=\frac{\text{opp}}{\text{adj}}`

where opp denotes the opposite leg of the angle, adj the adjacent leg of the angle and hyp the hypotenuse.

Now, in this triangle we notice that for angle B the opposite leg is 15, the adjacent leg is 8 and the hypotenuse is 17. Plugging this values into the definitions above we have that:

`\tan B=(15)/(8)`
`\sin B=(15)/(17)`
`\cos B=(8)/(17)`