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lukranit [14]
3 years ago
11

Jack is deep-sea diving with two friends. Arianna is floating on the surface 7 meters above Jack, and Nicholas is exploring a co

ral reef 7 meters in front of Jack. How far apart are Arianna and Nicholas? If necessary, round to the nearest tenth.
Mathematics
2 answers:
STALIN [3.7K]3 years ago
8 0

Answer: 9.9

Step-by-step explanation:

Lilit [14]3 years ago
4 0

Answer:

7\sqrt{2} meters

Step-by-step explanation:

The first step would be to draw a picture.  We can then see that the three people are positioned in a right triangle.

Each leg of the triangle is 7 meters, and the distance between the Arianna and Nicholas is the hypotenuse of the right triangle.

This means that this distance can be solved for using the Pythagorean Theorem: a^{2}+b^{2} =c^{2}, where a and b are the legs of the triangle and c is the hypotenuse.

By plugging in numbers, we can see that:

7^{2} +7^{2} =c^{2}

The left side of the equation can be simplified

49+49

98=c^2

This means that c=\sqrt{98} --> to undo the c squared, you take the square root of the whole equation

This radical can be simplified by breaking 98 into its square factors

\sqrt{98}= \sqrt{7*7*2} = \sqrt{7^{2}*2} =7\sqrt{2} meters

*and remember units on the end :)

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