Question

If you drive 5 miles east and then 4 miles south, how far are you, to the nearest tenth
of a mile from your starting point?

Answer 1

Answer:

6.4 miles

Step-by-step explanation:

5^2 + 4^2 = d^2

25 + 16 = d^2 = 41

d = 6.40 miles

Answer 2

The nearest tenth of a mile from your starting point is 6.4.

What is Pythagoras theorem?

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

How to write nearest tenth?

To round a number to the nearest tenth, we need to look to the right of the tenths place, which is the hundredths place. If the digit in the hundredths place is 5 or greater than 5, we need to add one to the digit in the tenths place. If it is 4 or less than 4, the tenths place digit remains the same. All the digits to the right of the tenths place should be changed to 0. That means, while rounding off a number to the nearest tenth, we will stop the rounding at the tenths place.

According to the question

If you drive 5 miles east and then 4 miles south

We have to find the nearest tenth of a mile from your starting point

From the diagram, we have to use Pythagoras theorem

D = $\sqrt{4^{2} +5^{2} }$

D = $\sqrt{16+25}$

D = $\sqrt{41}$

D = 6.40312

Round 6.40312 to the required nearest tenth

D = 6.4

Hence, The nearest tenth of a mile from your starting point is 6.4.

Find out more information about Pythagoras theorem here

https://brainly.com/question/343682

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