L4.9 - Using Trigonometric Ratios to Find Angles
Learning Intentions and Success Criteria
[color=#ff0000]We are learning to:[/color] [br][list][*]Calculate angle measures in right triangles using arccosine, arcsine, and arctangent[/*][/list][color=#ff0000]We are successful when we can:[/color][br][list][*]Use arccosine, arcsine, and arctangent to find angle measures in right triangles[/*][/list][br][b]Approximately symbol ≈[/b]
9.1: Once More with the Table
A triangle with side lengths 3, 4, and 5 is a right triangle by the converse of the Pythagorean Theorem. What are the measures of the acute angles?
tan([math]\theta[/math]) = [math]\frac{3}{4}[/math][br][br]To solve this for angle degree [math]\theta[/math] use tan[math]^{-1}[/math](3/4) on the calculator is also called arctangent.
9.2: From Ratios to Angles
[math]\Delta[/math]ABC
[math]\Delta[/math]DEF
[math]\Delta[/math]GHJ
Learning Intentions and Success Criteria
[color=#ff0000]We are learning to:[/color] [br][list][*]Calculate angle measures in right triangles using arccosine, arcsine, and arctangent[/*][/list][color=#ff0000]We are successful when we can:[/color][br][list][*]Use arccosine, arcsine, and arctangent to find angle measures in right triangles[/*][/list]
Cool-Down: Again with the Calculator
A triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem. What are the measures of the other 2 angles?
