Question

Solve for x ???????????

Answer 1

Do you recognize that the hypotenuse here has the length 22 and that the opposite side is the unknown (x)?  The angle is 21 degrees.

This is a perfect application of the tangent function:

tan 21 deg = opp / adj = opp / 22 = x / 22

tan 21 deg = 0.384                             so x would be 22 tan 21 deg, or
                                                                x = 22*(0.384)
                                                                   = 8.45  (answer)