Answer: 7.9
Explanation
What is given is 2 angles (44 and 90), one side, 11, and are asked to find another side.
In this case we may use the sin rule:
sin 1/ side1 = sin 2/ side2, where the sides are opposite to their respective angles.
The angle opposite of x is the only angle remaining in the triangle, so we can easily find it by 90-44 = 46, since it is a right triangle.
So now we can apply the sin rule:
1) sin46/x = sin90/11
2) 0.71934/x = 1/11
3) x = 0.71934 x 11
4) x ≈ 7.91274
x ≈ 7.9
Hope this helps :)
