Question

medals!!!!!
A balloon is released and flies straight up for 6 miles, and then the wind blows it west for 4 miles. Find the distance between the balloon and the site where it was released.

Answer 1

You will set this up as right triangle problem and what you are solving for is the hypotenuse of the triangle.

Answer 2

ok its a sq root answer

Answer 3

yah it is a Pythagorean problem

Answer 4

use the formula a^2 + b^2 = c^2

Answer 5

52

Answer 6

so 4^2 + 6^2 =
16 + 36=52
great job!

Answer 7

but its a sq root answer so 2 sq root 5?

Answer 8

what are the other answer choices?

Answer 9

3 sq root 7

Answer 10

2 sq root 3

Answer 11

and 2 sq root 13

Answer 12

\[A^2+B^2=C^2\] So if C is the Hypotenuse then:\[C = \sqrt{A^2+B^2}\]

Answer 13

then @alyygirl you have to do the square root of 52

Answer 14

So you really have \[C = \sqrt{52}\]

Answer 15

no 2 sq root 13

Answer 16

You can break up the inside square root into 4 and 13 because 4 times 13 = 52 and you will have:\[\sqrt{4 \times 13}\]
Since 4 is a perfect square of the number 2 and it is multiplied by 13 we can obey the rules of square roots and take the square root of 4 out of the square root sign and multiply it by only square root of 13 like so:\[\sqrt{4 \times 13} = \sqrt{2^2 \times 13} = 2\sqrt{13}\]

Answer 17

yep good job! @Johnbc :)