SOLUTION: There are two lamp posts (A and B) both 9.6m tall. When a man 1.6m tall stand X meters in front of lamp post A, his shadow casted by lampost B just touches the base of lampost A.

Question 390901: There are two lamp posts (A and B) both 9.6m tall.
When a man 1.6m tall stand X meters in front of lamp post A, his shadow casted by lampost B just touches the base of lampost A.
The man then walks towards lamp post B for 12m and his shadow, casted by lamp post A, just touches the base of Lamp post B.
What is the length of the man's shadow (show all working out)?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
There are two lamp posts (A and B) both 9.6m tall.
When a man 1.6m tall stand X meters in front of lamp post A, his shadow casted
by lampost B just touches the base of lampost A.
The man then walks towards lamp post B for 12m and his shadow, casted by lamp
post A, just touches the base of Lamp post B.
What is the length of the man's shadow.
:
We can use the rule of similar right triangles here
The sides of the large triangle formed by the light pole (9.6) and the dist
between the poles, (2x+12)
:
The sides of the small triangle formed by the man (1.6) and the dist from
him to the light pole, x
:
A ratio equation
=
Cross multiply
9.6x = 1.6(2x+12)
9.6x = 3.2x + 19.2
9.6x - 3.2x = 19.2
6.4x = 19.2
x =
x = 3 meters is the guys shadow
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