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Manuel wants to go snowboarding with his friends. The closest ski and snowboard resort is approximately 20 miles west and 50 miles north from his house. Manuel picks up his friend who lives 15 miles south and 10 miles east of Manuel's house. How far are the two boys from the resort

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abidemiokin

Answer:

Step-by-step explanation:

First we need to calculate the displacement of the resort from Manuel's house using Pythagoras theorem.

S1 = √50²+20²

S1 = √2500+400

S1 = √2900

S1 = 53.85m

Next is to calculate the displacement of Manuel's friend house to Manuel's house.

S2 = √15²+10²

S2 = √225+100

S2 = √325

S2 = 18.03m

The displacement of the two boys from the resort will be ∆S = S2-S1

∆S = 53.84-18.03

∆S = 35.81m