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=\frac{15}{8}$$\sin B=\frac{15}{17}$$\cos B=\frac{8}{17}$