<prompt> Create a trigonometry problem.  <response>: The question is: What is the measure of an acute angle of a right triangle that has a hypotenuse of 10 cm and one of the legs measures 6 cm?Solution: We can use the cosine function to calculate the angle. Lets call the unknown angle θ, so cosθ adjacenthypotenuse, where adjacent is the known leg 6 cm and the hypotenuse is 10 cm.cosθ 610 0.6θ cos10.6θ 53.13Thus, the measure of the acute angle is approximately 53.13 degrees. 