A6-ft-tall person walks away from a 10-ft lamppost at a constant rate of 3ft/sec. what is the rate that the tip of the shadow moves away from the pole when the person is 10ft away from the pole?

Step-by-step explanation:

If we see the file attached. The lamppost and the person form a triangle. The hight of the triangles are set by 10 ft from the lamppost and 6 ft from the person.

We also know that the person moves at a rate of 3

So,

As we have similar triangles:

Solving the equation by y:

If we derivate the expression:

Knowing that

4y - 6 + y^2 - 9 = y^2 + 4y - 15

y^2 term

terms

- terms

total of 3 terms when simplified

step-by-step explanation: