# SOLUTION: On a sunny day, a building and its shadow form the sides of a right triangle. If the hypotenuse is 24 m long and the shadow is 15 m, how tall is the building? d^2=24^2 + 15^2

Algebra ->  Algebra  -> Pythagorean-theorem -> SOLUTION: On a sunny day, a building and its shadow form the sides of a right triangle. If the hypotenuse is 24 m long and the shadow is 15 m, how tall is the building? d^2=24^2 + 15^2       Log On

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 Click here to see ALL problems on Pythagorean-theorem Question 288191: On a sunny day, a building and its shadow form the sides of a right triangle. If the hypotenuse is 24 m long and the shadow is 15 m, how tall is the building? d^2=24^2 + 15^2 = 576 +225 = 801 = 16.125 Could you tell me if this is correct? CynthiaFound 2 solutions by stanbon, richwmiller:Answer by stanbon(57384)   (Show Source): You can put this solution on YOUR website!On a sunny day, a building and its shadow form the sides of a right triangle. If the hypotenuse is 24 m long and the shadow is 15 m, how tall is the building? d^2 = leg^2 + (other leg)^2 24^2 = x^2 + 15^2 --- x^2 = 24^2-15^2 x^2 = 351 x = sqrt(351) = 18.73 m -------------------------------- Cheers, Stan H. Answer by richwmiller(9143)   (Show Source): You can put this solution on YOUR website!Your math is all wrong. the square root of 801 has to be more that 20 since 20^2=400. sqrt(801)=28.3019 Also d has to be bigger than the other two. Which brings us to the biggest problem. The hypotenuse is the longest side of a right triangle. You have the hypotenuse in the wrong place. a^2+b^2=c^2 c is the hypotenuse (the slanted part) and a and b are the legs (up and across) you have a and c a=15 and c=24 a^2+b^2=c^2