Question

can someone please help me! i have to turn this in 10 minutes. please guys! i would appreciate it. ❤️

Answer 1

Tangent is opp/adj. In this case, we are given the adj and need to find the opp. Let's set up a ratio:
$tan(25) = \frac{AC}{8.6}$

Solve for AC:
$8.6tan(25) = AC = 4.01$

So, since it says round to the nearest tenth, your answer is AC = 4.0 or 4 units.

Answer 2

|AC|
------ = tan 25 deg, so |AC| = 8.6 tan 25 deg
 8.6                                     8.6 (0.466) = 4.01 units (answer)