Right Triangle Trig: Finding a Missing Angle. Finding an angle. (Figuring out which ratio to use and getting to use the 2 nd button and one of the trig.

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Presentation transcript:

Right Triangle Trig: Finding a Missing Angle

Finding an angle. (Figuring out which ratio to use and getting to use the 2 nd button and one of the trig buttons.)

Ex. 1: Find . Round to four decimal places Make sure you are in degree mode (not radians). 2 nd tan 17.29) Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem.

Ex. 2: Find . Round to three decimal places Make sure you are in degree mode (not radians). 2 nd cos 723)

Ex. 3: Find . Round to three decimal places Make sure you are in degree mode (not radians). 2 nd sin )

Steps to finding the missing angle of a right triangle using trigonometric ratios: 1.Redraw the figure and mark on it HYP, OPP, ADJ relative to the unknown angle  5.92 km HYP OPP ADJ 2.67 km

Steps to finding the missing angle of a right triangle using trigonometric ratios: 2.For the unknown angle choose the correct trig ratio which can be used to set up an equation 3.Set up the equation  5.92 km HYP OPP ADJ 2.67 km

Steps to finding the missing angle of a right triangle using trigonometric ratios: 4.Solve the equation to find the unknown using the inverse of trigonometric ratio.  5.92 km HYP OPP ADJ 2.67 km

Practice Together: Find, to one decimal place, the unknown angle in the triangle.  3.1 km 2.1 km

YOU DO: Find, to 1 decimal place, the unknown angle in the given triangle.  7 m 4 m