+ section 4-1: right triangle trigonometry and section 4-2: degrees and radians tuesday, november 11...

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+ Section 4-1: Right Triangle Trigonometry and Section 4- 2: Degrees and Radians Tuesday, November 11 th

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Page 1: + Section 4-1: Right Triangle Trigonometry and Section 4-2: Degrees and Radians Tuesday, November 11 th

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Section 4-1: Right Triangle Trigonometry and Section 4-2: Degrees and RadiansTuesday, November 11th

Page 2: + Section 4-1: Right Triangle Trigonometry and Section 4-2: Degrees and Radians Tuesday, November 11 th

+Chalk Talk

Page 3: + Section 4-1: Right Triangle Trigonometry and Section 4-2: Degrees and Radians Tuesday, November 11 th

+A hot air balloon that is moving above a neighborhood has an angle of depression of 28° to one house and 52° to a house down the street. If the height of the balloon is 650 feet, estimate the distance between the two houses.

Page 4: + Section 4-1: Right Triangle Trigonometry and Section 4-2: Degrees and Radians Tuesday, November 11 th

+The angle of elevation from a car to the top of an apartment building is 48°. If the angle of elevation from another car that is 22 feet directly in front of the first car is 64°, how tall is the building?

Page 5: + Section 4-1: Right Triangle Trigonometry and Section 4-2: Degrees and Radians Tuesday, November 11 th

+A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle of elevation to the top of the cliff is 30°, and the angle of elevation to the top of the tower is 58°. How tall is the tower?

Page 6: + Section 4-1: Right Triangle Trigonometry and Section 4-2: Degrees and Radians Tuesday, November 11 th

+Degree-Minute-Second (DMS) to Decimal Degree Form

60 minutes in a degree

60 seconds in a minute

56.375°32°56’7’’

Page 7: + Section 4-1: Right Triangle Trigonometry and Section 4-2: Degrees and Radians Tuesday, November 11 th

+329.125° 35°12’7’’

Page 9: + Section 4-1: Right Triangle Trigonometry and Section 4-2: Degrees and Radians Tuesday, November 11 th

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Page 10: + Section 4-1: Right Triangle Trigonometry and Section 4-2: Degrees and Radians Tuesday, November 11 th

+To convert a degree measure to radian, multiply by

To convert a radian measure to degree, multiply by

Page 11: + Section 4-1: Right Triangle Trigonometry and Section 4-2: Degrees and Radians Tuesday, November 11 th

+Convert the degree measure to radians and vice versa.

120°-45°

Page 12: + Section 4-1: Right Triangle Trigonometry and Section 4-2: Degrees and Radians Tuesday, November 11 th

+Coterminal angles

45°

Page 13: + Section 4-1: Right Triangle Trigonometry and Section 4-2: Degrees and Radians Tuesday, November 11 th

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-30°