Posted by **Keith** on Friday, June 24, 2011 at 4:30am.

If a person is 66 inches tall is standing 15 feet away from a streetlight. If the person casts a shadow 84 inches long, how tall is the streetlight?

- College Algebra -
**Keith**, Friday, June 24, 2011 at 4:31am
Sorry, the question is "A person is 66 inches tall is standing 15 feet away from a streetlight. If the person casts a shadow 84 inches long, how tall is the streetlight?"

- College Algebra -
**drwls**, Friday, June 24, 2011 at 7:15am
Let X be the streetlight height.

84 inches is 7.00 feet.

66 inches is 5.50 feet.

Draw a figure with a light ray passing from the light, skimming the top of the person's head and striking the ground at the end of the shadow.

Because of similar triangles,

H/(15 + 7) = 5.5/7

H = 22*(11/14) = 17.29 feet

## Answer this Question

## Related Questions

- Math - A 6-foot person standing 15 feet from a streetlight casts a 15-foot ...
- Math - A 6-foot person standing 15 feet from a streetlight casts a 15-foot ...
- algebra - a man 6.2 feet tall stands 12 feet away from a streetlight and casts a...
- Algebra - Juan and Anita are standing together in the schoolyard. Juan, who is 6...
- Geometry - A tree casts a shadow that is 70 feet long. At the same time a person...
- Calculus - A person whose height is 6 feet is walking away from the base of a ...
- Math - Miguel is 5 feet 10 inches tall. On a sunny day he casts a shadow 4 feet ...
- math - Juan and Anita are standing together in the schoolyard. Juan, who is 6 ...
- trig - A woman that is 5'4" stands 15 ft from a streetlight and casts a four-...
- Pre-Algebra - A 5-foot parking meter has a 4-foot shadow from a nearby ...

More Related Questions