EQ: How do I use trigonometry to find missing side lengths of right triangles?
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1 EQ: How do I use trigonometry to find missing side lengths of right triangles? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 7, Lesson 1 1. Warm Up 2. SRT.6 Quiz 3. Notes 4. Practice 5. Closure 46 Find Missing Sides of Rt Triangles 47 Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm Up: Take a minute to review pages and pages 42 43, as well as the word problem on page Then, self assess using the following questions: 1. Do you remember what SOH CAH TOA stands for? Can you identify opposite/adjacent sides? Can you set up proportions for similar triangles? 2. Can you solve the following problem? The two triangles shown below are similar. If the cos B = 0.8 and the length of XZ is 30, what is the length of YZ? A B Y Z C X
2 SRT.6 Quiz
3 notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes Summary: If an angle and one side of a right triangle are known, you can use trig functions to find the other side. Example Find the missing length, w. step 1: set up a trig ratio (SOH CAH TOA) step 2: either nsolve or use the trig function in your calculator to solve it algebraically.
4 Left Side Practice Find the missing value to the nearest tenth. Designers of wheelchair ramps have to be aware of the fact that the ramp can't be too steep. Below is a sketch of a ramp that will be placed leading up to the courthouse downtown. (a) What is the total length of ramp that will be needed? (b) How much space in front of the building will the ramp need to start?
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6 Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Clos Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Right Side... Write a summary that answers the essential question. Left Side...
7 EQ: How do I use trigonometry to find missing side lengths of right triangles? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 7, Lesson 2 1. Warm Up 2. Left Side Practice 3. TI NSpire activity 4. Closure 48 Find Missing Sides of Rt Triangles 49 Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm Up: Draw the triangle. Label the opposite side, the adjacent side, and the hypotenuse in relation to Write a trig ratio you could use to find x? (sin, cos, or tan) 1.5 Write second trig ratio that you could use to find x. 2. Using this trig ratio, set up your equation. 3. Solve for x.
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9 Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Angle of Elevation/Depression Angle of depression 180 inches Angle of elevation Ex 1 Summary:
10 35 x 12 Left Side Practice What are all of the ways to find the value of x in the following triangles? 8 20 x x x we call this "the angle of depression"
11 TI NSpire Activity Trig to Find Sides ss Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity
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13 Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Clos Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Right Side... Write a summary that answers the essential question. Left Side...
14 EQ: How do I use trigonometry to find missing side lengths of right triangles? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 7, Friday 1. Warm Up 2. Trig Investigation 34 not a new page!!! 35 Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm Up:
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16 Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Clos Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Right Side... Write a summary that answers the essential question. Left Side...
17 EQ: How do I use trigonometry to find missing side lengths of right triangles? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 7, Wednesday 1. Envelope Game! 34 not a new page!!! 35 Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm Up: Draw the triangle. Label the opposite side, the adjacent side, and the hypotenuse. 1. Which ratio would you use to find x? (sin, cos, tan) 2. Using this trig function, set up your ratio. 3. Solve for x.
18 ENVELOPE GAME
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EQ: SRT.8 How do I use trig to find missing side lengths of right triangles?
EQ: SRT.8 How do I use trig to find missing side lengths of right triangles? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential
Use SOH CAH TOA to memorize the three main trigonometric functions.
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