Question

2. Could I find the two missing side lengths of a right triangle if I only know one side length and one angle measure (other than the 90 degree angle)? Examples and a walkthrough please :)

Answer 1

if you know one angle and the 90 degree angle, then you know two angles
therefore you know the third angle (since they add up to 180)

Answer 2

therefore in total you know all angles and one side, you can find the other two sides using trigonometry

Answer 3

in the triangle above, knowing that one leg is 7 we can get the other leg by putting \(\frac{7}{x}=\tan(20)\) and so \(x=\frac{7}{\tan(20)}\)

Answer 4

Sin x = b/h
sin (90 - x) = a/h..

and so u can manipulate the formulas.. :)