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.
At what angle θ should the ball be hit if the golfer wants the ball to travel 450 feet (150 yards)?
2007-08-10 15:41:39 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Thanks. I wanted to check my answer. I'm confused how you got 2theta=42 degrees. After I got sin(2theta)=(450/672) I divided both sides by two, to get sin(theta) = (75/224) and then entered inverse sin (75/224) to get about 19.56 degrees. Did I do something wrong?
2007-08-11 08:39:55 · update #1
Answered my own question, I divided both sides by two which I shouldn't have, thanks again, both answers were great.
2007-08-11 08:43:01 · update #2
You know R(theta)= 450
Then R(theta)=450/672 or about 2/3
You can find 2 theta (about 42 deg)
Then theta is about 21 degrees.
2007-08-10 15:49:37 · answer #1 · answered by cattbarf 7 · 0⤊ 0⤋
672 sin(2theta)=450
sin(2theta)=450/672
=0.6696
2 theta=42 degrees
theta=21 degrees ANS
2007-08-10 15:51:11 · answer #2 · answered by Anonymous · 0⤊ 0⤋