Problema Solution

Elmo would have to drive due north to get to his parents' house and due east to get to his grandparents' house. It is 21 kilometers from Elmo's house to his parents' house and a straight-line distance of 75 kilometers from his parents' house to his grandparents' house. How far is Elmo from his grandparents' house?

Answer provided by our tutors

make a good drawing and use the Pythagorean Theorem


let 'd' represent the distance from Elmo's house to his grandparent's house, d>0


d^2 = 21^2 + 75^2


by solving we find:


d = 77.88 km


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Elmo is 77.88 km far from his grandparent's house.