I have to figure out the lengths of a right triangle for when they give me the length of one leg and another measurement of an angle. Like this:the upright leg of the right triangle is 11cm and angle A is 80 degrees. How will I figure out the other lengths? All I know is that I have to use SIN COS or TAN, and I kind of know about SOHCAHTOA.Thanks.

If side A (the one opposite the angle a) is the 11 cm side and angle A is the 80 degree angle. Then since sin=opp/hyp and since you are looking for the hypothenuse, hyp=11/sin 80, hyp=11/0.9848=11.169cm.

the remaining side would be opposite the remaining angle which must be 10 degrees. You can find that by tan=opp/adj, or opp=tan10 deg(11cm)=0.1763(11cm)=1.939cm.. So the triangle is 1.939cm, 11cm, and 11.169cm.

If you take the tan function using the 80 degree angle: tan 80deg=5.671 and you'd be looking for the adjacent side, so 11/5.671=1.939cm. So you get the same result for the remaining short side of the triangle.