Mr.Woods' Math Class
60866780U1100U115290820103836Geometry CC00Geometry CC5108575-39370Lesson 300Lesson 360579000 00 000010160097155NYS COMMON CORE MATHEMATICS CURRICULUM00NYS COMMON CORE MATHEMATICS CURRICULUMObjective: SWBAT solve for missing angles in a right triangle by using trigonometric ratios.Name: ____________________________________ Date: ____________ Period: _____________Lesson 3: Trigonometric Ratios – Solving for an AngleDo Now: Which of the following could be used to find the measure of angle B? Explain your choice.10558812418000(1) sinB=45(2) cosB=45(3) tanB=45(4) cosB=54Explanation: ______________________________________________________________________________________________________________________________________________________Solving for an AngleWe can use trigonometric ratios to find two missing angles of a right triangle.as long as we are given: two sides of the triangle.4473245-72517Steps1. Locate your reference angle.2. Determine the opposite, adjacent, and hypotenuse sides.3. Based on what you are given, determine whether you should use sin, cos, or tan (use SOH CAH TOA)4. Substitute appropriately into the ratio.5. Use the cos-1 function in your calculator and type in the ratio.[you will press 2nd followed by either sin, cos, or tan]6. Round accordingly 00Steps1. Locate your reference angle.2. Determine the opposite, adjacent, and hypotenuse sides.3. Based on what you are given, determine whether you should use sin, cos, or tan (use SOH CAH TOA)4. Substitute appropriately into the ratio.5. Use the cos-1 function in your calculator and type in the ratio.[you will press 2nd followed by either sin, cos, or tan]6. Round accordingly left40203100Ex 1) Find the measure of angle B. Round your answer to the nearest degree.Ex 2) Find the measure of angle D in the right triangle below. Round your answer to the nearest tenth of a degree.9839911038900Ex 3) Find the measure of ∠C in the right triangle below. Round your answer to the nearest degree.left10431700Ex 4) Solve for the missing angle labeled θ in each of the following right triangles. Round each answer to the nearest degree. Finish for homework. (If you do not have a calculator at home, you must set up the ratios!)6122173411200a) 28072116578600b) 37498111417300c) 31689416469300d) 2976639702800e) 3168653848100f) 51615324683700g) h) 3391912230100ClosureIn the diagram below of right triangle KTW, KW=6, KT=5, and m∠KTW=90.21531616380400What is the measure of angle K, to the nearest degree? ................
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