Question

Maria is on a hike. if she hikes to the scenic lookout on the following map first, she will have to hike farther than if she went straight to the end of the hike. 3 connected points on a coordinate plane. the point labeled, "maria," is at 4, -4. the point labeled, "end," is at -5, 5. a solid line connect the points "maria" and "end." the point labeled, "scenic lookout," is at 2, 3. dashed lines connect "maria" to "scenic lookout" and connect "scenic lookout" to "end." coordinate values on the map are in kilometers. how much shorter is the path straight to the end of the hike than past the scenic lookout? round your final answer only to the nearest kilometer. \text{km}kmstart text, k, m, end text

Answer 1

The path straight to the end of the hike is 6 km farther than past the scenic lookout.

How to determine the difference in the parts?

The map is not given, but the question can still be answered

From the question, the positions are given as::

Maria = (4, -4)

Scenic = (2, 3)

End = (-5, 5)

The distance between Maria and the end point is calculated using:

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2$

So, we have:

$Route\ 1 = \sqrt{(4 + 5)^2 + (-4 -5)^2}$

$Route\ 1 = 13$

The distance between Maria and the scenic lookout is calculated using:

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2$

So, we have:

$Route\ 2 = \sqrt{(4 - 2)^2 + (-4 -3)^2}$

$Route\ 2 = 7$

The distance between both routes is:

Distance = 13 - 7

Evaluate

Distance = 6

Hence, the path straight to the end of the hike is 6 km farther than past the scenic lookout.

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https://brainly.com/question/7243416

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