Shadows and distance, I need a formula to solve for Object 2

Looking for a formula to solve this word problem. Please Help

A shadow from object 1 projects on a wall 1.75 X larger than its original size. Object 1 is 4.5 ft from the wall the shadow has been casted on. Object 2 has a known size which cast a shadow of 1.25 X its original size. How far is object 2 from the wall.

Re: Shadows and distance, I need a formula to solve for Object 2

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Originally Posted by

**crah28** Looking for a formula to solve this word problem. Please Help

A shadow from object 1 projects on a wall 1.75 X larger than its original size. Object 1 is 4.5 ft from the wall the shadow has been casted on. Object 2 has a known size which cast a shadow of 1.25 X its original size. How far is object 2 from the wall.

Let :

and denote distance of the source of the light from the wall as d . Therefore :

Hence :

Re: Shadows and distance, I need a formula to solve for Object 2

(Bow)Thanks for your help, the formula was spot on.