A golfer hits a golf ball with an initial velocity of 100 miles per hour. The range R of the ball as a function of the angle θ to the horizontal is given by R(θ)=672sin(2θ), where R is measured in feet. Round to two decimal places. Write DNE if the solution does not exist.

A) At what angle θ should the ball be hit if the golfer wants the ball to travel 450 feet (150 yards)?

degrees

B) At what angle θ should the ball be hit if the golfer wants the ball to travel 540 feet (180 yards)?
degrees

" role="presentation" style="position: relative;">C) At what angle θ should the ball be hit if the golfer wants the ball to travel at least 480 feet (160 yards)?

degrees

D) At what angle θ should the ball be hit if the golfer wants the ball to travel 720 feet (240 yards)?