Sunday

March 1, 2015

March 1, 2015

Posted by **Matt** on Monday, October 28, 2013 at 12:53am.

- calculus -
**Steve**, Monday, October 28, 2013 at 4:44amusing similar triangles, we see that if the man is x from the pole, and his shadow is s long,

(x+s)/15 = s/6.3

6.3x + 6.3s = 15s

6.3x = 8.7s

So, if x is increasing and s is increasing, then the tip of the shadow is moving at speed dx/dt + ds/dt.

Or, dx/dt (1 + 6.3/8.7)

Note that it does not matter how far from the pole the man is.

**Answer this Question**

**Related Questions**

math - A street light is at the top of a 16.0 ft. tall pole. A man 5.9 ft tall ...

Calculus - A street light is at the top of a 17 ft tall pole. A woman 6 ft tall ...

Calculus - A street light is at the top of a 19 foot tall pole. A 6 foot tall ...

Calculus - A street light is at the top of a 17 ft tall pole. A woman 6 ft tall ...

math - A street light is mounted at the top of a 19-ft-tall pole. A man 5.5 feet...

calculus - A street light is at the top of a 13 ft tall pole. A woman 6 ft tall ...

calculus - A street light is at the top of a 20 ft tall pole. A woman 6 ft tall ...

calculus - A street light is at the top of a 16 ft tall pole. A woman 6 ft tall...

calculus - A street light is at the top of a 15 ft tall pole. A woman 6 ft tall ...

calculus - A street light is at the top of a 16 ft tall pole. A woman 6 ft tall...