Answer:
The ball is 57 feet away from the ball.
Step-by-step explanation:
According to the image, the situation forms a right triangle, where its hypothenuse is 181 yards and one leg is 180 yards. Our job is to find the other leg of the right triangle, which we can find using the Pythagorean Theorem
[tex]a^{2}=b^{2} +c^{2}[/tex]
Where [tex]a[/tex] is the hypothenuse, [tex]b[/tex] and [tex]c[/tex] represent the legs.
Replacing all given values, we have
[tex]181^{2}=180^{2}+x^{2} \\x^{2} =181^{2}-180^{2}\\x=\sqrt{32,761-32,400}\\ x=\sqrt{361}\\ x=19[/tex]
Now, we know that 1 yard equals 3 feet, so
[tex]19yd \times \frac{3ft}{1yd}= 57ft[/tex]
Therefore, the ball is 57 feet away from the ball.
