math

a 3ft tall boy casts a 4ft shawdow at the same time a tree casts a 72 foot shawdow using the pythagorean therem find the distance from the top of the tree to the tip of the shawdow

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1. the Pythagorean Theorem is not what you need here.

The boy is 3/4 as tall as his shadow.
The tree is 3/4 as tall as its shadow.

so, what's 3/4 of 72?

You could use the theorem to find the distance from the boy's head to the tip of his shadow (d^2 = 3^2 + 4^2)
but that still wouldn't help you find the height of the tree. You'd still have to fall back on using similar triangles.

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posted by Steve
2. approximate to the nearest inch the lenght of a rectangle whose diagnol measures 25.0 inches and whose width is 18.0

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posted by carly
3. Now you can use your theorem:

If the length is x, then

x^2 + 18^2 = 25^2
x^2 = 625 - 324
x^2 = 301
x = 17

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posted by Steve
4. a ladder 39 ft long leans against a building and reaches the ledge of a window if the foot of the ladder is 15 ft from the foot of the building how high is the window ledge above the ground tot the nearest foot.

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posted by carly
5. come on. this is just like the one I just did for you. show me whatcha got. I'll let you know whether anything's amiss.

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posted by Steve

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