A 6 ft tall tent standing next to a cardboard box casts a 9 ft shadow. If the cardboard box casts a shadow that is 6 ft long then how tall is it?

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Answer 1 · 2018-03-15T06:05:24

Let the cardboard box is #hft# tall and the angle of elevation if source of light be #alpha#

Then

#tanalpha="height of the tent"/"length of its shadow" ="height of the box"/"length of its shadow"#

So #6/9=h/6#

#=>h=6^2/9=4# ft