Right Triangle Trigonometry Solving Right Triangles Thursday, October 17, 2019

where A represents the angle of reference. Trigonometry: Solving a right triangle where A represents the angle of reference. H is the Hypotenuse, always being opposite the right angle. Relative to angle x, O is the Opposite and A is the Adjacent. Thursday, October 17, 2019Thursday, October 17, 2019

Right triangle Trigonometry A right triangle is defined as having one angle precisely equal to 90o (a right angle). Thursday, October 17, 2019Thursday, October 17, 2019

Practice Trig 1 1) What side is opposite angle B? z y B x Thursday, October 17, 2019Thursday, October 17, 2019

Practice Trig 1 1) What side is opposite angle B? z y B x Answer: y Thursday, October 17, 2019Thursday, October 17, 2019

Practice Trig 1 2) What side is adjacent angle B? z y B x Thursday, October 17, 2019Thursday, October 17, 2019

Practice Trig 1 2) What side is adjacent angle B? z y B x Answer: x Thursday, October 17, 2019Thursday, October 17, 2019

Practice Trig 1 3) Find cos B z y B x Thursday, October 17, 2019Thursday, October 17, 2019

Practice Trig 1 3) Find cos B z y B x Answer: cos B = x/z Thursday, October 17, 2019Thursday, October 17, 2019

Practice Trig 1 4) Find the hypotenuse. z y x Thursday, October 17, 2019Thursday, October 17, 2019

Practice Trig 1 4) Find the hypotenuse. z y x Answer: z Thursday, October 17, 2019Thursday, October 17, 2019

Practice Trig 1 5) Set up the trigonometric ratio for the right triangle that you would use to find x. 50º 8 x Thursday, October 17, 2019Thursday, October 17, 2019

Practice Trig 1 5) Set up the trigonometric ratio for the right triangle that you would use to find x. cos 50º = 8/x 50º 8 x Thursday, October 17, 2019Thursday, October 17, 2019

Practice Trig 1 5) Set up the trigonometric ratio for the right triangle that you would use to find x. 50º 8 x Thursday, October 17, 2019Thursday, October 17, 2019

Practice Trig 1 6) Find sin . Then find  36 60 48  36 60 48  Thursday, October 17, 2019Thursday, October 17, 2019

Practice Trig 1 6) Find sin . sin  = 48/60 36 60 48  36 60 48  Thursday, October 17, 2019Thursday, October 17, 2019

Practice Trig 1 6) Find sin . 36 60 48  36 60 48  Thursday, October 17, 2019Thursday, October 17, 2019

Practice Trig 1 7) Find tan . Find measure of angle. 20 52 48  20 52 48  Thursday, October 17, 2019Thursday, October 17, 2019

Practice Trig 1 7) Find tan . 20 52 48 tan  = 20/48  20 52 48 tan  = 20/48  Thursday, October 17, 2019Thursday, October 17, 2019

Practice Trig 1 7) Find tan . 20 52 48 20 52 48 Thursday, October 17, 2019Thursday, October 17, 2019

Thursday, October 17, 2019Thursday, October 17, 2019

More Practice How to set up and solve a trigonometry problem when solving for a side of the triangle: Example 8:  In right triangle ABC, hypotenuse AB=15 and angle  A=35º.    Find leg length, BC, to the nearest tenth. Thursday, October 17, 2019

Example 8 Thursday, October 17, 2019Thursday, October 17, 2019

Solve triangle Example 9:  In right triangle ABC, leg length BC=20 and angle B = 41º.  Find hypotenuse length BA to the nearest hundredth. Thursday, October 17, 2019

Example 9 Thursday, October 17, 2019Thursday, October 17, 2019

Example 10 Find side CA. tan 68 Thursday, October 17, 2019Thursday, October 17, 2019

Example 11 Set up the trigonometric ratio for the right triangle that you would use to find x. 40º 8 x Thursday, October 17, 2019Thursday, October 17, 2019

Example 11 Set up the trigonometric ratio for the right triangle that you would use to find x. cos 40º = 8/x 40º 8 x Thursday, October 17, 2019Thursday, October 17, 2019

Example 11 Set up the trigonometric ratio for the right triangle that you would use to find x. 40º 8 x Thursday, October 17, 2019Thursday, October 17, 2019

Example 12 Find sin . sin  = 48/50 36 50 48  36 50 48  Thursday, October 17, 2019Thursday, October 17, 2019

Example 12 Find sin . 36 50 48  Thursday, October 17, 2019