Answer:
57.3 feet
Step-by-step explanation:
Make a right angle triangle. Angle is 45 degrees
hight is 40.4 which is opposite to this angle, that means it's opposite side. And the distance of the bucket to rescue cat is hypotenuse, that's what we are looking for.
apply trig ratio
Sinθ = opposite leg/ hypotenuse
[tex] \sin( 45) = \frac{40.4}{x} \\ x = \ \frac{40.4}{ \sin(45) } \\ x = 57.275 \\ x = 57.3[/tex]
