While Ralph was doing his usual shoot-around, he realized that he was shooting the ball at a 43-degree angle like always and he was at his normal distance of 15 feet from the basket, but he was missing. He figured that the height of the basket was off and wanted to see how high up the basket was. He uses tan(43) x 15 and finds it is 14 feet high.
X
43'
15 ft
Now Ralph will have to get used to the tall basket and try moving to a different spot.
43'
15 ft
14
Later that day, Ralph decided to go back and practice. He took a couple of steps back to see if he could shoot it better than before. He found out that he had to shoot the ball at a 29.5' angle. He is trying to find how far he needs to shoot it. After using the equation 14/sin(29.5), he found that he needs to shoot it 28.4 feet to the basket.
29.5
x
14 ft
The next day at practice, Ralph had a big game so he had to get his shot down. After shooting on that tall rim, his shot on the normal 10-foot rim is off.
To get his perfect shot for their big game the next day. He found that he was 13.3 feet from the basket. He also found he needed to shoot it 16.7 feet. He is trying to find the angle to shoot it. Ralph used the equation cos-1(13.3/16.7) To find he needed to shoot it at a 37-degree angle. He also used pythaoroen theorem to make sure the goal was 10 feet high.
16.7
13.3 ft
x
The next day Ralph had the best game of his life dropping 33 points.
The End
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