Answer:
5 feet
Step-by-step explanation:
The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation,

where y is the height above water and x is the horizontal distance in feet.
If a beam of light is shone upward at an angle modeled by the equation

A beam of light hit the dolphin.
So, line must be intersect path of dolphin.
Using substation method,
Substitute y=10-x into dolphin equation.





Hence, The beam hit dolphin at 5 feet.
Answer:
It is given that the volume of a cone =
cubic units
Volume of cone with radius 'r' and height 'h' = 
Equating the given volumes, we get
=


It is given that the height is 'x' units.
Therefore, 

Therefore, r = 3x
So, the expression '3x' represents the radius of the cone's base in units.