Question

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To get to the top of the mountain, Heather drove 10 east and 4 miles south. Then she hiked the rest of the way to the top which was about 1 mile high. Assuming Heather started at (0, 0, 0), what is the total distance she traveled to the top of the mountain?


A) 11.8 miles
B) 10.8 miles
C) 7 miles
D) 15 miles

Answer 1

Answer: B. 10.8.

Step-by-step explanation: Use the distance formula and replace it with the given values. Distance=$\sqrt{10^{2}+4^{2}+1^{2} }$, solve it and it will give you 10.8 miles.

Answer 2

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position. The correct option is B.

What are coordinates?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

Given that Heather started at (0, 0, 0). Also, she drove 10 east, and 4 miles south, and hiked 1 mile up. Therefore, the coordinate at the top is (10, 4, 1).

Now, the distance between the two points can be written as,

Distance = √[(10-0)² + (4-0)² + (1 - 0)²]

               = √(100+16+1)

               = 10.8 milles

Hence, the correct option is B.

Learn more about Coordinates:

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