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MFM 2PI U8 D3 Solving for an Unknown Angle complete Unit 8: Trigonometry Day 3: Solving for an Unknown Angle Last class we... - learned the steps to solve for an unknown side of a right-angled triangle using the primary trig ratios - used these steps to solve real-world problems Today we will... - learn the steps to solve for an unknown angle of a right-angled triangle using the primary trig ratios - use these steps to solve real-world problems **Quiz next class!!** MFM 2PI U8 D3 Solving for an Unknown Angle complete Recap from last class Steps for finding a missing side of a Right Triangle using Primary Trig Ratios 1. Identify your reference angle 2. Label your triangle using the reference angle 3. Decide what ratio to use (using the Have, Need, Use method) 4. Cross multiply 5. Isolate x 6. Conclude WarmUp: With your partner, complete the question on the board. MFM 2PI U8 D3 Solving for an Unknown Angle complete Solving for an Unknown Angle Trig ratios can also be used to find the measures of angles of a right triangle that are not known. Ex. 1 Use a calculator to find the measure of each angle A to the nearest degree. a) cos A = 0.4067 b) sin A = 0.7777 c) tan A = 2.246 MFM 2PI U8 D3 Solving for an Unknown Angle complete Steps for Solving for an Unknown Angle 1. Identify your reference angle 2. Label your triangle using the reference angle 3. Decide what ratio to use (using the Have, Need, Use f method) 4. Inverse function 5. Conclude MFM 2PI U8 D3 Solving for an Unknown Angle complete Ex. 2: For the following triangles, identify the trig ratio to use, write the equation and solve it to one decimal place using the inverse trig buttons on your calculator. 1 1 1 tan cos sin a) Have: 35 Need: x Use: 12 Calculator: tan 2nd (35 12) = or (35 12) 2nd tan = Have: b) 100 Need: Use: x 91 40 Have: c) x 50 Need: Use: MFM 2PI U8 D3 Solving for an Unknown Angle complete Ex. 3 A storm caused a 13.5m hydro pole to lean over. The top of the pole is now 11.8m above the ground. Find the measure of the angle between the hydro pole and the ground, to the nearest degree. Ex. 4 The Canadian Standards Association states that the angle between a ladder and the ground must be between 70 and 80 for safety. A 12m ladder is leaning against a building so that it reaches a height of 11.5m. Is this ladder positioned safely according to the Canadian Standards Association? Explain. MFM 2PI U8 D3 Solving for an Unknown Angle complete Practice Questions: pg. 71 #2ace, 6, 8 pg. 80 #2a, 11, 13 QUIZ NEXT CLASS!!!