Solve each problem. (Source for Exercises 53 and 54: Parker, M., Editor, She Does Ma...

Solve each problem. (Source for Exercises 53 and 54: Parker, M., Editor, She Does Math, Mathematical Association of America.)

(Modeling) Double Vision To correct mild double vision, a small amount of prism is added to a patient’s eyeglasses. The amount of light shift this causes is measured in prism diopters. A patient needs 12 prism diopters horizontally and 5 prism diopters vertically. A prism that corrects for both requirements should have length r and be set at angle θ . Find the values of r and θ in the figure.