Aperson whose height is 6 feet is walking away from the base of a streetlight along a straight path at a rate of 4 feet per second. if the height of a streetlight is 15 feet, what is the rate at which a person’s shadow is lengthening?

The rate at which a person’s shadow is lengthening is

Step-by-step explanation:

Given :

Height of a person = 6 feet

Walking at speed of 4 feet/sec.

Height of a streetlight = 15 feet

Calculation :

Let the distance from the pole be x and the length of the shadow be y.

Using similar triangle property

  ------ (1)

Differentiate equation (1) with respect to time, we get

----- (2)

Here,

From equartion (2), we get

The rate at which a person’s shadow is lengthening is

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link

d.192

step-by-step explanation:

12*16=192

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation: