Help pleaseee????

Question

A person who is 6 ft tall walls away from a streetlight toward the tip of the streetlight's shadow when the person is 15 ft from the streetlight the tip of the person's shadow and the shadows cast by the streetlight coincide at a point 5 ft in front of the person how tall is the streetlight

Answer 1

24 feet.

 

 

YOU MUST DRAW A PICTURE!!! I had to.

 

Here's the full diagram description.

 

Right Triangle ABC, where the right angle is C and the street light is BC, so B is the top of the the street light.

I drew mine with BC on my right and A on my left.

 

Line segment DE is perpendicular to AC, such that AE is 5 and EC is 15. DE is 6, as given in the problem, where

DE represents (the height of) the person.

 

Triangle ADE and ABC are similar right triangles because angle A is shared by both of them. This forces angles ADE and ABC to be the same.

 

By similarity proportions: 5/6 = 20/24