- Estelle really likes to play basketball. Estelle is always finding new ways to improve her shooting, this time Estelle is using trigonometry to find out the angle measurement for her shooting range.
- Estelle then wants to figure out her measurements while doing a lay up. While getting closer to do a lay up she finds out the hoop is now 20 feet tall and where she's shooting from is at a 38 degree angle. She uses trig to find out how far she is from the hoop and how far she needs to shoot to get the ball in the hoop. She uses the equation Toa and does 20/Tan 38= 25.59 ft. This shows that she is 25.6 ft away from the hoop.
- 38°
- X
- 20
- Estelle shoots at a 32 degree angle. She’s also 25 feet away from the hoop. Which shows she has perfect measurement to shoot the ball in the hoop. But, Estelle is still unsure how high the hoop is so she uses Trigonometry. She uses Toa 25 (Tan 32) Which gives her the feet of 15.6 ft. This shows the hoop is 16 feet high.
- 32°
- 25
- x
- X
- 68°
- Now Estelle wants to figure out how far she is from the hoop inside the gym of the school. The hoop inside is 20 ft tall and she shoots at a 68 degree angle. By using trig she finds out the equation Toa which equals to 20/ Tan 68. Showing that she is 8 ft away from the hoop.
- 20
- This time Estelle wants to go farther from the circled area in the basketball court (where people want to shoot). As Estelle is walking back she sees that the hoop is 5 feet tall and that she is 12 feet away from the hoop. Estelle uses trig to find out the angle of her shot. She uses the equation Tan-1 (12/5) and finds out that her shot is 67 degrees.
- 12
- X
- 5
- Now that Estelle has figured out a new technique for when she's on the court she is able to improve her shooting and become better as a basketball player.The End!!