Find the altitude of the triangle.
30 degrees
Hypotenuse of 14

Approx. 12.124 units tall

Step-by-step explanation:

Since you need to find the height (which is adjacent to the given angle), you need to use cosine (adj. over hypotenuse).

cos(30) = x/14

Multiply both sides by 14:

14cos(30) = x

Hope this helps :)

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0