Question

70

60
50
40
Cameron
30
Arthur
20
Jamie
10
o
10 20 30 40
50 60
70 80
80 90
20. How far apart are Arthur and Jamie? Round to
the nearest tenth of a meter.

Answer 1

Answer: 29.2 meters

The value is approximate

===========================================================

Step-by-step explanation:

Refer to the diagram below. Focusing on just Jamie and Arthur, a right triangle forms as shown in the diagram. The right triangle has a horizontal leg of 5 units and vertical leg of 3 units. The distance between the two people is exactly the length of the hypotenuse.

We'll use the pythagorean theorem to find the hypotenuse.

a^2 + b^2 = c^2

5^2 + 3^2 = c^2

25 + 9 = c^2

34 = c^2

c^2 = 34

c = sqrt(34)

c = 5.83095 approximately

That distance is the number of units between Arthur and Jamie. We multiply that by 5 to get the number of meters (because 1 unit = 5 meters).

So we have 5*5.83095 = 29.15475 which then rounds to 29.2 meters as the final answer.