Bell Assignment Solve the triangle A B C C = 48° and a = 25

5-6 The Law of Sines

The Law of Sines a = b = c sin A sin B sin C OR Sin A = Sin B = Sin C a b c Remember: Capital letters represent angle measures. Lower case letters represent side measures. A B C a bc

Example 1: Solve ABC if A = 29 °, B = 112° and c = 22m. A B C

Example 2. Solve the triangle if A = 33°, B = 105° and b = 37.9 A B C

Example 2: Mallory is going to swim from her house to her goal. Find the distance from Mallory’s house to her goal.

A person in a hot air balloon observes that the angle of depression to a building on the ground is 65.8°. After ascending vertically 500 feet, the person now observes that the angle of depression is 70.2°. How far is the balloonist now from the building?

A baseball fan is sitting directly behind home plate in the last row of the upper deck. The angle of depression to home plate is 29°54’ and the angle of depression to the pitchers mound is 24°12’. The distance between home plate and the pitchers mound is 60.5 feet. How far is the fan from home plate?

B

Finding the area of Triangles A = ½bh Draw in the height Use Trig functions to find the height of the triangle.

Find the area of ABC if b = 21.2, c = 16.5 and A = 25° A B C