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anastassius [24]
3 years ago
11

A hiker leaves camp and walks 6 miles east. Then he walks 18 miles south. How far from camp is the hiker? Distance in miles: Usi

ng quadratic applications

Mathematics
1 answer:
Mrac [35]3 years ago
5 0

Answer: 19 miles

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the distance between the hiker and the camp) and a and b are the other sides.  

Replacing with the values given:  

x^2 = 6^2 + 18^2  

x^2 = 36+324

x^2 = 360

x = √360

x = 18.97miles = 19 miles

Feel free to ask for more if needed or if you did not understand something.  

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