A pilot flies a plane south and then 600 miles west where she land the plane. How far
south did the pilot fly the plane if she lands 610 miles from her starting point.

Question

A pilot flies a plane south and then 600 miles west where she land the plane.  How far 
      south did the pilot fly the plane if she lands 610 miles from her starting point.

anonymous · Answer

@mathslover @YanaSidlinskiy

yanasidlinskiy · Answer

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yanasidlinskiy · Answer

$$a^2 +b^2 =c^2$$
$$x^2+600^2=610^2$$
$$x^2+360000=372100 $$
$$x^2=12100$$
$$x=110 miles$$

anonymous · Answer

Thank you!

yanasidlinskiy · Answer

No problem!!:) It is Simple and easy!! Any doubts/questions??

anonymous · Answer

Nope! Can I ask you one more question?

yanasidlinskiy · Answer

Sure..

anonymous · Answer

Simplify.
$$4\sqrt{6}+\sqrt{54}$$

yanasidlinskiy · Answer

That one I'm NOT good at. You might want to get help from someone smarter than me. Like @mathslover .

mathslover · Answer

Yep sure, I will try my best to help @pickles112233 

@pickles112233 we can write 54 as 9 * 6 , right?

anonymous · Answer

Yeah.

mathslover · Answer

Okay, so I can write the expression as : 

$4\sqrt{6} + \sqrt{9 \times 6}$ 

Now, as 9 = 3^2 so, 3 will come out

mathslover · Answer

So, we get : $4\sqrt{6} + 3\sqrt{6}$

mathslover · Answer

Take $\sqrt{6}$ common, we get : $\sqrt{6}(4+3) = 7\sqrt{6}$

anonymous · Answer

Thank you so much!

mathslover · Answer

You're welcome and Welcome to OpenStudy! :)