The Law of Sines Advanced Geometry Trigonometry Lesson 4

AB C a b c

AB C a b c x AB C a b c y The Law of Sines

Example: Find p. Round to the nearest tenth.

Example: Find m ∠ L to the nearest degree in ∆ LMN if n = 7, l = 9, and m ∠ N = 43.

Example: Solve ∆ DEF if m ∠ D = 112, m ∠ F = 8, and f = 2. Round angle measures to the nearest degree and side measures to the nearest tenth.

Example: Solve ∆ HJK if m ∠ J = 32, h = 30, and j = 16. Round angle measures to the nearest degree and side measures to the nearest tenth.

Example: Three cities form the vertices of a triangle. The angles of the triangle are 40°, 60°, and 80°. The two most distant cities are 40 miles apart. How close are the two closest cities to the nearest tenth of a mile?