Posted by **David** on Friday, October 9, 2009 at 12:15am.

A woman 5 ft tall is standing near a street lamp that is 12 ft tall. Find a function that models the length L of her shadow in terms of her distance d from the base of the lamp.

- math -
**jim**, Friday, October 9, 2009 at 3:43am
This one's kind of pretty. I first thought we'd be into sin and trig country, but we don't have to. But you have to see it in a diagram.

Draw lines for the lamppost and the woman, and a line from the top of the lamppost just over the woman to the ground. You should have a big RAT, with the woman forming a similar, smaller RAT, included. Distance from lamppost to woman is d; length of shadow is s.

Key word is similar. The ratio of the sides is the same in the big and small triangles.

The base of the big triangle is s+d, and its height is 12.

The base of the small triangle is s, and its height is 5.

So we have:

(s+d)/12 = s/5

and now all you have to do is manhandle that equation to get s in terms of d!

- math -
**luke**, Thursday, October 7, 2010 at 9:48am
S=5d/7

## Answer This Question

## Related Questions

- Precalculus - A woman who is 6 feet tall stand near a light that is 13 feet tall...
- math - if you are 6 ft tall and cast a 90" shadow and are standing 70" from a ...
- calculus - A 6ft tall woman is walking away from a srteet lamp at 4 ft/sec that ...
- MATH WORD PROBLEM - MEASUREMENT: A woman is 5 ft tall and her shadow is 4ft long...
- math - if you are 6 ft tall and cast a 90" shadow and are standing 70" from a ...
- math - if you are 6 ft tall and cast a 90" shadow and are standing 70" from a ...
- Pre Calc - Dr. Black is standing 15 feet away from the street lamp. The lamp is ...
- Calculus - A man is 6ft tall and is walking at night straight toward a lighted ...
- Math - A street light is at the top of a 16 ft tall pole. A woman 6 ft tall ...
- Calculus - A street light is hung 18 ft. above street level. A 6-foot tall man ...

More Related Questions