Thursday

July 24, 2014

July 24, 2014

Posted by **Edward** on Friday, October 18, 2013 at 3:14pm.

- math -
**Steve**, Friday, October 18, 2013 at 5:06pmIf the man is x feet from the pole, and his shadow has length s, then by similar triangles,

(x+s)/19 = s/5.5

19s = 5.5(x+s)

13.5s = 5.5x

s = .407x

The tip of the shadow is at distance x+s = 1.407x

so, it is moving with speed

d(x+s)/dt = 1.407 dx/dt

= 1.407*14 = 19.7 ft/s

**Related Questions**

physics - A gun is mounted at the top of light house of height h. A similar gun ...

calculus - A street light is mounted at the top of a 6-meter-tall pole. A man 2 ...

Math - A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft ...

trig - Lindsay is out one night and notices that her body casts a shadow that is...

trig - Lindsay is out one night and notices that her body casts a shadow that is...

math - a boy is walking at dusk and notices his shado from a nearby street light...

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

Physics - A traffic light is suspended midway across a 60 meter wide street by a...

math trigonometry - 1. Two straight roads intersect to form an angle of 75". ...

Calculus - A street light is hung 18 ft. above street level. A 6-foot tall man ...