Question #99954
A 6-foot y’all tent casts a 9-foot shadow. If the tent is next to a cardboard box and the box casts a 6-foot long shadow, how tall is the box?
1
Expert's answer
2019-12-06T09:22:59-0500

Let us say the height of cardboard box is h feet


and the angle of elevation = θ\theta


tanθ\tan\theta = HeightofthetentLengthoftentsshadow\frac{Height\thinspace of\thinspace the\thinspace tent }{Length\thinspace of\thinspace tent's\thinspace shadow} = HeightoftheboxLengthofboxsshadow\frac{Height\thinspace of\thinspace the\thinspace box }{Length\thinspace of\thinspace box's\thinspace shadow}


    \implies 69\frac{6 }{9} = h6\frac{h }{6}


9h9h = 3636


So h=4h=4 feet


Answer: the height of the cardboard box is 4 feet.


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