SOLUTION: A person standing 40 ft away from a street light that is 25 ft tall. How tall is he if his shadow is 10 ft long?

Algebra.Com
Question 1065981: A person standing 40 ft away from a street light that is 25 ft tall. How tall is he if his shadow is 10 ft long?
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
|
|25
|
|
|====================|=====
---------------40-------------10--
The person's height is x
the shadow is 10
The street light is 25; its shadow is 50.
These are similar triangles, the person, shadow being one, the light and its shadow being the other. We aren't worried about the hypotenuses.
The person is half the length of the shadow or 5 feet tall.

RELATED QUESTIONS

1.) A citrus grower estimates that if 60 orange trees are planted, the average yield per... (answered by KMST)
A man is 6 ft. tall, and is standing 12 ft. away from a 16 ft. tall lightpost. How long... (answered by vleith)
A light post casts a shadow that is 15 ft. long. Sarah is 5 ft. tall and is standing 4... (answered by math_tutor2020,ikleyn,MathTherapy)
Grace is 4 ft. tall and standing in the light of a 20 ft. tall lamppost. her shadow is 8... (answered by scott8148)
Llong is 5 ft tall and is sanding in the light of a 15-ft lamppost. Her shadow is 4 ft... (answered by richwmiller)
A 10 ft tall tent standing next to a baby elephant casts a 20 ft shadow. If the baby... (answered by josgarithmetic)
A 10 ft tall tent standing next to a baby elephant casts a 20 ft shadow. If the baby... (answered by addingup)
if a 10 ft tall statue casts a 20 ft long shadow, then how tall is a tent that casts a 10 (answered by jim_thompson5910)
A man 5 ft tall walks at a rate of 4 ft/sec directly away from a street light that is 20... (answered by Alan3354)