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9.3b – Using Trigonometric Ratios Definitions of the Day (DODs) • Trigonometric Ratios (review) • Angle of Elevation Def: The Trigonometric Ratios B c a A C b length of leg opposite A a sinesine of Aof = an angle is just a number!! or sin A length of hypotenuse c length of leg adjacent to A b cosine of A = or cos A cosine of anlength angle is just a number!! of hypotenuse c length of leg opposite A a tangent of A of = an angle is just a number!! or tan A tangent length of leg adjacent to A b Example Use your calculator (change mode to degrees) 1. a) Find: sin 30° b) Find: cos 88° c) Find: tan 45° Example B 2. Find x: 50 70° C x A Example 3. Find x: x 21° 18 Definition: Angle of Elevation An angle from the horizontal up to a line of sight. Example 4. Suppose you are lying on the ground looking up at a Redwood tree. If your angle of elevation to the top of the tree is 42° and you are 280 feet from the tree, how tall is the tree? Your Turn!! 1. Find x: x 60° y 100 2. Find y: Sentence Frames 1. The sine of an angle is a __________________. 2. The cosine of an angle is a ________________. 3. The tangent of an angle is a _____________ . 4. If you looked out your bedroom window, at an angle of elevation of 10°, what would you see? ____________________________________________ ____________________________________________