SOLUTION: A man is walking away from a lamppost with a light source 6 m above the ground. The man is 2 m tall. How far from the lamppost is the man when his shadow is 5 m long?

Question 355076: A man is walking away from a lamppost with a light source 6 m above the ground. The man is 2 m tall. How far from the lamppost is the man when his shadow is 5 m long?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let x = distance of the man from the base of the lamppost.
Then x + 5=distance of the tip of the man's shadow from the base of the lamppost. Then by a direct application of similar triangles,
.
After cross-multiplication, .

.
The man is 10 m away from the base of the lamppost.
RELATED QUESTIONS
A man is walking away from a lamppost with a light source h = 8 m above the ground. The... (answered by josgarithmetic)

A man is walking away from a lamppost with a light source 6m above the ground. The man is (answered by checkley77)

A man is walking away from a lamppost with a light source h = 6 m above the ground. The... (answered by jojo14344)

A man is walking away from a lamppost with a light source 9 meters above the ground. The... (answered by nyc_function)

I have a solution of 3.1875 meters for this problem but it is in error. (I calculated... (answered by oscargut,stanbon,Earlsdon)

A man 6 feet tall walks away from light 10 feet above the ground. If his shadow... (answered by Fombitz)

A person of height 1.68 m is walking away from a lamp-post at 1.5 m/s. The light on the... (answered by rothauserc)

calculus-rate of change a) A bright light on the ground illuminates a wall 12 meters... (answered by Alan3354)

a moving car is m metres from a man with a stopwatch after t seconds. the distance away... (answered by richwmiller)