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On a sunny day if a 36-inch yardstick casts a 21-inch shadowhow tall is a building whose shadow is 168 ft?
Wiki User
∙ 9y ago
24 feet 6 inches to be exact
12*3=36
168/12=14
14*6=84+84=168
21*14=294
12/294=24 R6
Wiki User
∙ 9y ago
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On a sunny day if a 36inch yardstick casts a 21inch shadow how tall is a building whose shadow is 168ft?
So, I can't give you the answer with the appropriate formulas or w/e but this is how I figure it out in my headFind the ratio between the yard stick and it's shadow36/21 = 1.71This means that object creating the shadow is 171% taller that its shadow is longFind the amount of inches in 168 feet (this is to be more accurate with your answer)168 * 12 = 2016 inchesMultiply the previous number by the ratio found before2016 * 1.71 = 3447.4 inches (or 287.3 feet)If a 36 inch yardstick casts a 21 inch shadow, a building whose shadow is 168 feet is 287.3 feet talls'howyagottadoitboyyiieAnother answer:Using trigonometry will give you a more accurate answerTangent ratio = opposite (the yardstick) divided by the adjacent (yardstick's shadow)Tangent ratio = 36/21 = 12/7 in its lowest termsNow rearrange the formula to find the height of the buildingTangent ratio*adjacent (the building's shadow) = opposite (the building)12/7*168 = 288The height of the building is 288 feet.
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