Answer:
Explanation:
You want to solve the triangle with A=35°, B=60°, and c=10.
Law of Sines
When two angles and a side are given, the Law of Sines is useful for providing a solution. In order to use it, we need to know an angle and its opposite side. That is, we need angle C.
Using the sum of angles of a triangle, we have ...
A +B +C = 180°
C = 180° -A -B = 180° -35° -60° = 85°
Now, we can use ...
a/sin(A) = b/sin(B) = c/sin(C)
b = c·sin(B)/sin(C) = 10·sin(60°)/sin(85°) ≈ 8.69
a = c·sin(A)/sin(C) = 10·sin(35°)/sin(85°) ≈ 5.76