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Geom 02_02_17 sect 6_4 February 02, 2017 Opener: 1) Find the value of x. 6.4 Apply the tangent ratio Y 26 X 24 x Z I can understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. Solve for x. 2) 3) Hypotenuse (hyp)- Side across from the RIGHT angle If given 2 sides of a right triangle, Adjacent leg (adj) - Leg next to the acute angle then use pythagorean theorem to find the third side. Opposite leg (opp)- Leg across from the acute angle hypotenuse X adjacent leg hypotenuse Y hypotenuse opposite leg X Z opposite leg adjacent leg TANGENT RATIO Y If given 1 side and an acute angle of a right triangle, then use trigonometry to find the other sides. adjacent leg Z TRY ME O N GO TRI opposite leg 1. Find tan A and tan B. Write each answer as a fraction AND as a decimal rounded to four places. Tan A = opp tan A = adj Tan B = what do you notice about the ratios? tan A = opp adj Geom 02_02_17 sect 6_4 February 02, 2017 tan A = MUST have a calculator! Find the value of x to the nearest tenth. 2. opp adj 3. in be ode t s M Mu r e e g e D 4. Write two equations you can use to find the value of x. Then find the value of x to the nearest tenth. tan A = opp adj hint: find the value of the other angle Extension #5: tan A = a) Find the area of the triangle. Round to the nearest tenth. 19˚ b) Find the perimeter of the triangle. Round to the nearest tenth. 6.4 Tangent Ratio Assignment: WS opp adj