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8.4 Trigonometry- Part II Inverse Trigonometric Ratios *To find the measure of angles if you know the sine, cosine, or tangent of an angle. *Use inverse trigonometric ratio to find the angle between the ladder and the wall.
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Inverse Trigonometric Functions
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Example 4: Find Angle Measures Using Inverse Trigonometric Ratios
Use a calculator to find the measure of T to nearest tenth. a. b.
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Example 4: Find Angle Measures Using Inverse Trigonometric Ratios
Use a calculator to find the measure of T to nearest tenth. c.
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Solving a Right Triangle
*Using the given measures of sides and angles, you can find the missing measures of the sides and angles. *Need to know: two sides lengths or one side length and measure of one acute angle. We could solve this right triangle to find mG, mD, and length of GO.
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Example 5: Solve a Right Triangle
Round side measures to the nearest tenth and angle measures to the nearest degree. mG mD GO
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Example 5: Solve a Right Triangle
Round side measures to the nearest tenth and angle measures to the nearest degree. mB AB BC
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Trigonometry Word Problems
a. Ski Lift A chair lift on a ski slope makes an angle with the ground that is 28 and covers a total distance of 4640 feet. To the nearest foot, what is the vertical height h covered by the chair lift?
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Trigonometry Word Problems
b. Drive-In Movie You are 50 feet from the screen at a drive-in movie. Your eye is one the horizontal line with the bottom of the screen and the angle of your line of sight to the top of the screen is 58. How tall is the screen?
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8.4 Trigonometry Part II p #36-46 all, evens, 62, evens, evens
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