57 feet from the hole is the ball
Solution:
Length of the Tee (height) = 180 yard
Hole to Tee (hypotenuse) = 181 yard
To find the distance from the hole to ball.
The figure shows the it is right angled triangle.
Solve it using Pythagoras theorem,
[tex]\text {Base}^{2}+\text {Height}^{2}=\text {Hypotenuse}^{2}[/tex]
[tex]x^{2}+180^{2}=181^2[/tex]
[tex]x^{2}+32400=32761[/tex]
[tex]x^{2}=32761-32400[/tex]
[tex]x^{2}=361[/tex]
Taking square root on both sides of the equation.
[tex]x=19[/tex] yard
Convert yard to feet.
1 yard = 3 feet
19 yard = 19 × 3 = 57 feet
Hence 57 feet from the hole is the ball.
