algebra

posted by .

a man 6.2 feet tall stands 12 feet away from a streetlight and casts a 5 ft shadow.

How tall is the streetlight?

  • algebra -

    Draw a little sketch to convince yourself that the shadow of the light is 12'+ 5'=17'

    Use proportions and cross product:
    6.2 ft : 5 ft shadow
    ? ft : 17 ft shadow

    height of light
    = 6.2*17/5
    = 21.08'

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. College Algebra

    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?
  2. trig

    A woman that is 5'4" stands 15 ft from a streetlight and casts a four-foot long shadow. Determine the height of the streetlight and the degree measure of the angle of elevation form the tip of her shadow to the top of the streetlight, …
  3. Pre-Algebra

    A 5-foot parking meter has a 4-foot shadow from a nearby streetlight. The streetlight is 15 feet tall. How far is the streetlight from the parking meter?
  4. Calculus

    A 6 feet tall man walks away from a streetlight that is 15 feet high at a rate of 5 ft/s. Express the length 's' of his shadow as a function of time. What I have so far: I set up a triangle and used similar triangles to create a ratio …
  5. Math

    A 6-foot person standing 15 feet from a streetlight casts a 15-foot shadow. Two similar triangles are formed. One triangle is formed by the person and the shadow that the person casts. A second triangle is formed by the streetlight …
  6. Math

    A 6-foot person standing 15 feet from a streetlight casts a 15-foot shadow. Two similar triangles are formed. One triangle is formed by the person and the shadow that the person casts. A second triangle is formed by the streetlight …
  7. Related Rates Calculus

    A man 1.8 m tall is walking at a rate of 1.5 m/s away from a streetlight. It is found that the length of his shadow is increasing at a rate of 0.9 m/s. How high above the ground is the streetlight?
  8. geometry

    A man who is 6 feet tall is standing under a streetlight and casts a shadow on the sidewalk the man is standing 15 feet away from the 20-foot streetlight. How long is his shadow ,s ?
  9. Math

    A 6-foot person standing 15 feet from a streetlight casts a 10-foot shadow. Two similar triangles are formed. One triangle is formed by the person and the shadow that the person casts. A second triangle is formed by the streetlight …
  10. Calculus AB

    There's these two word problems I don't understand. 1. A man 6 ft tall walks at a rate of 5 ft per second toward a streetlight that is 30 feet high. The man's 3-foot-tall child follows at the same speed, but 10 feet behind the man. …

More Similar Questions