Question

The group wants to travel from its current location on the map to the South Pole, and then directly back to the base camp. How many miles will they have to travel? Explain your answer.​

Answer 1

Using the Pythagorean Theorem, it is found that the group will have to travel 90 miles.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs $l_1$ and $l_2$ of a right triangle with the length of the hypotenuse h, according to the following equation:

$h^2 = l_1^2 + l_2^2$

In this problem:

• First, the group travels 5 x 5 = 25 miles to the south pole.

• Then, the distance to the camp is the hypotenuse of a right triangle with sides of 25 miles and of 12 x 5 = 60 miles, hence:

$d^2 = 25^2 + 60^2$

$d = \sqrt{25^2 + 60^2}$

d = 65.

The total distance is given by:

Td = 25 + 65 = 90 miles.

More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982

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