To determine

To find:

How fast is the water skier rising as she leaves the ramp

Answer

The rate of rising of the water skier is 7.7 ft /s

Explanation

1. Formula:

Constant multiple rule:

ddxCf(x)=Cddx(fx)

2. Given:

dzdt=30 ft/s

3. Calculation:

By using the Pythagorean Theorem

Z² = 15² + 4² = 225 + 16 = 241

Therefore, Z= 241

By using similar triangle property

y4=z241

⇒y=4z241

Differentiate with respect to t

dydt=ddt(4z241)

By using constant multiple rule

dydt=4241dzdt

Since, dzdt=30

dydt=4241*30

dydt=7.7

Conclusion:

Therefore,  the rate of rising of the water skier is 7.7 ft /s