CONCEPT MAP

Key Concepts: Key Vocabulary:

Opposite Angles & Sides

Ambiguous

Law of Cosines

Law of Sines

Topic:

Trigonometric Applications

Area of any Triangle

Ambiguous case

Examples:

Law of Sines	Law of Cosines	Area
A ship has an angle of elevation to the top of a lighthouse of 23^0. If it travels 1000 ft closer and the angle of elevation is 45^0, then	The Army surveyor measures angles from 2 points on one side of the river to a tree on the other to be 65^0and 34^o. The 2 points are	Two sides of a triangular lot property measure 300 ft & 200 ft. The angle between the sides is 32^0. If you
how tall is the light	150 ft apart. How wide	are paying $5/sqft
house?	is the river?	how much does the lot cost?

Enduring Understanding (s): When & how to use the Law of Cosines, Law of Sines in real life situations.

Essential Question (s): How tall is that tree?

Will my ship crash on the shore? How much is that lot of land really costing me? Do these 3 measurements make more than 1 triangle?