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Mathematics 8 Online
OpenStudy (anonymous):

Your friend is trying to calculate the height of a nearby oak tree. You tell him that you learned how to use similar triangles in Geometry class. You tell your friend to measure his height (75 inches) and you measure the length of his shadow (48 inches). Both of you measure the length of the tree’s shadow (38 feet). How tall is the tree (in feet)? Round to the nearest hundredth.

OpenStudy (anonymous):

@MTALHAHASSAN2

OpenStudy (anonymous):

@Directrix

OpenStudy (anonymous):

@CausticSyndicalist

OpenStudy (mtalhahassan2):

what we have to find

OpenStudy (anonymous):

@wio

OpenStudy (anonymous):

Im not sure how to do this problem

jimthompson5910 (jim_thompson5910):

first convert everything to feet 75 inches * (1 ft/12 inches) = 6.25 feet 48 inches * (1 ft/12 inches) = 4 feet

jimthompson5910 (jim_thompson5910):

then set up the drawing |dw:1420250506634:dw|

jimthompson5910 (jim_thompson5910):

we see these corresponding sides |dw:1420250605069:dw| because the triangles are similar, we can set up this proportion x/6.25 = 38/4 solve for x to get your answer

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