Astreet light is on top of a 15 foot pole. a person who is 6 feet tall walks away from the pole at a rate of 4 feet per second. at what speed is the length of the person’s shadow growing? 1. speed = 23 9 ft/sec mcguire (am89323) – 2.6 related rates – toshner – (ab-4) 4 2. speed = 3 ft/sec 3. speed = 25 9 ft/sec 4. speed = 8 3 ft/sec 5. speed = 26 9 ft/sec

(4). 8/3 ft/sec.

Speed of person's shadow growing = 2.66 ft/sec.

In the question,

The height of the pole is = 15 foot

Height of the person = 6 foot

Rate of walking away from the pole, v = dy/dt = 4 ft/sec.

Now,

Let us say the length of shadow is = x

and,

Distance of person from the pole is = y

So,

In the triangle EDC and EAB, from the similar triangle properties, we can say,

Now,

On differentiating the equation w.r.t, time, t, we get,

Therefore, the Speed at which the person's shadow is growing is 2.66 ft/sec.

Hence, the correct option is (4).

the arctic is a region of the planet, north of the arctic circle, and includes the arctic ocean, greenland, baffin island, other smaller northern islands, and the far northern parts of europe, russia (siberia), alaska and canada.

1 a

2 b

3 b

4 d

5 d

6 d

explanation: