# Precalculus

posted by .

A woman who is 6 feet tall stand near a light that is 13 feet tall. Find a function for the length of her shadow in term of her distance from the base of the lamp.

• Precalculus -

If x is the distance from the lamp, and s is the length of her shadow, then using similar triangles,

13/(x+s) = 6/s
s = 6/7 x

## Similar Questions

1. ### math

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.
2. ### math

At a given time, the height of an object is directly proportional to the length of the shadow that is cast on the ground. A person 6 feet tall casts a shadow 1 foot long at noon. a) What is the length of the shadow cast by a flagpole …
3. ### math

A man 6 feet tall walks at a rate of 5 feet/sec toward a street lamp that is 16 feet above the ground. At what rate is the tip ,of his shadow moving?
4. ### math

A LAMP POST IS 10 FEET TALL AND CAST A SHADOW. THE DISTANCE FROM THE TOP OF THE LAMP POST TO THE TIP OF THE SHADOW IS 20 FEET. FIND THE ANGLE OF THE ELEVATION.
5. ### math

At the time that a 55 foot tall tree casts a shadow that is 32 feet long, a nearby woman is 5.5 feet tall. Which measure is the closest to the length of the shadow she will cast?
6. ### math

A man 6 feet tall walks along a walkway which is 30 feet from a the base of a lamp which is 126 feet tall. The man walks at a constant rate of 3 feet per second. How fast is the length of his shadow changing when he is 40 feet along …
7. ### math

A man 6 feet tall walks along a walkway which is 30 feet from a the base of a lamp which is 126 feet tall. The man walks at a constant rate of 3 feet per second. How fast is the length of his shadow changing when he is 40 feet along …
8. ### MATH

A man 6 feet tall walks along a walkway which is 30 feet from a the base of a lamp which is 126 feet tall. The man walks at a constant rate of 3 feet per second. How fast is the length of his shadow changing when he is 40 feet along …
9. ### calc

a man 6 feet tall is walking away from a lamp post at the rate of 60 feet per minute. when the person is 6 feet from the lamp post, his shadow is 12 feet long. find the rate at which the length of his shadow is increasing when he is …
10. ### FLAGPOLE MATH!

It's Me Again, Karen is standing near a flagpole that is 12 feet tall. Karen is 5 feet tall, and the length of her shadow is 4 feet, as shown. What is the length in feet of the flagpole's shadow?

More Similar Questions