math 115 CH 7

A tree casts a shadow that measures 5 m. At the same time, a meter stick casts a shadow that is 0.4 m long. How tall is the tree?
Is this correct ?
1m=.4m
1m÷.4m =2.5m
2.5m X 5m =12.5m

1. they probably wanted you to set up 2 similar triangles and set up a ratio.

let the height of the tree be h m
then h/5 = 1/.4
cross-multiply to get .4h=5
h=5/.4 = 12.5 m
so the tree is 12.5 m high.

I know you got that numerical answer but I didn't like the way you made your statements
e.g.
1m = .4m makes no sense, 1m cannot be .4m

(I know this might seem petty, but to mathematicians this is just as grating as bad grammar is to an English teacher.)

posted by Reiny

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