Solve for x. Round your answer to 2 decimal places.

A right triangle is shown where the angle between the hypotenuse, of length x units, and a leg, of length eighteen units, is fifty degrees.

You'll solve using trig identities. We have the adjacent leg length and we want the hypotenuse length. Thus, we will use the cosine identity

cos angle = adjacent / hypotenuse

Using the information in the problem, we have:

cos 50 = 18 / hypotenuse

x = hypotenuse = 18 / cos 50