Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.

Question

anonymous · Answer

attachment

hartnn · Answer

same type, please try it by yourself first :)

hartnn · Answer

instead of 24, its 5 here!

anonymous · Answer

Look at the triangle I drew on your previous question, it's pretty much the same thing, as hartnn mentioned :p.

anonymous · Answer

okay so we are using sin again i assume and 5 is the hypotenuse and x is opposite

hartnn · Answer

correct!

anonymous · Answer

so sin 45 = .707 as last time and .707=x/5

hartnn · Answer

yup

anonymous · Answer

so x= 3.535

hartnn · Answer

excellent ! you did it on your own :D

anonymous · Answer

so the answer in radical form would be 5sqrt2/2 right ?

hartnn · Answer

thats correct.

anonymous · Answer

What a pro

hartnn · Answer

as a short cut,
legs of a 45-45-90 triangle, is $1/\sqrt2$ times hypotenuse. Always!

hartnn · Answer

*are

anonymous · Answer

Lol thanks! i can always count on you and like i said before it's only because you taught me well that i'm starting to get the hang of it now