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williams6129
03.05.2020 •
Mathematics
Smithville is 30 miles due south of Jonestown, and Brighton is 72 miles due east of Smithville. What is the distance from Jonestown to Brighton in miles?
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Ответ:
78 miles
Step-by-step explanation:
Hi, since the distances form a right triangle ( see attachment) we have to apply the Pythagorean theorem:
c2 = a2 +b2
Where c is the hypotenuse (the longest side) and a and b are the other two sides of the triangle.
In this case the hypotenuse is the distance from Jonestown to Brighton (x)
Replacing with the values given:
x2 = 30^2 + 72 ^2
x2 = 900+5184
x2=6084
x = √6084
x = 78 miles
Ответ: