Question

What is the value of w?

Answer 1

I have come to the conclusion that w is also 7√3 because of the 30,60,90 theorem.

Answer 2

so yeah, your right the triangle is a 30 60 90 triangle.
now do you know what the theorem states?

Answer 3

Yes. I believe the pattern is to find the hypotenuse and the long leg.

Answer 4

so you can chek this website out:
http://www.mathwarehouse.com/geometry/triangles/right-triangles/special-right-triangles.php
see if it helps you?

Answer 5

then if you have anymore questions please post them?

Answer 6

we know from the sketch that Cos(30)=(7/root (3))/w then you can make w the subject of the formula . Done

Answer 7

Wait.

\[Cos30 =7/\sqrt 3 / w = 14\]

Answer 8

Is that right?

Answer 9

@some_someone

Answer 10

w=7/(sqr(3)cos(30))