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Chapter 1

Chapter 1. c. a. b. Right Triangle Trigonometry. 1.1 Angles and Degree Measure. A. Degree Measure. 1 degree or 1 °. 1. of the circle. 360. 1 °. 1 minute 1’. 1. of a degree. 60. 1 ’. 1 second 1”. 1. of a minute. 60. B. Degrees, Minutes, Seconds → decimal. 25.

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Chapter 1

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  1. Chapter 1 c a b Right Triangle Trigonometry

  2. 1.1 Angles and Degree Measure A. Degree Measure 1 degree or 1° 1 of the circle 360

  3. 1° 1 minute 1’ 1 of a degree 60

  4. 1’ 1 second 1” 1 of a minute 60

  5. B. Degrees, Minutes, Seconds → decimal 25 45 → 30.4292° 30° 25’ 45”→ 30 + + 60 3600 67° 38’ 12”→ → 67.6367° 123° 50”→ → 123.0139° 33’ 44”→ → .5622°

  6. C. Pythagorian Theorem 13 in. c 5 in. a b 2 2 2 a + b = c 2 2 2 5 + b = 13 b = 12 or -12 2 25 + b = 169 2 b = 144

  7. C. Pythagorian Theorem 15 in. c x in. a b (x + 3) in. 2 2 2 a + b = c

  8. C. Pythagorian Theorem (x + 14) ft c (x – 2) ft a b (2x) ft. 2 2 2 a + b = c

  9. Parallels of Latitude Equator Slicing the Earth into pieces

  10. Measuring Parallels Give the slices values

  11. Lines of Longitude Antimeridian A Meridian A Establish a way of slicing the Earth from pole to pole

  12. Prime Meridian Establishes an orthogonal way of slicing the earth

  13. Longitude North America Values of pole-to-pole slices

  14. Earth Grid Comparing the parallels and the lines

  15. Latitudes and Longitudes Combining the parallels and the lines

  16. 1.2 Similar Triangles ABC ~ ADE A A D E ► ► B C ► ►

  17. 1.2 Similar Triangles A ABC ~ ADE d e D E f A b c B C a

  18. 1.2 Similar Triangles a b c = = A f d e d e D E a f = f d b A b c B C a

  19. 1.2 Similar Triangles A 10 in. 12 in D E f = 15 in A b = 16 in. 2 20 in. 3 B C 25 in.

  20. K PQR ~ JKL 28 cm. 35 cm. J P 24.5 cm. 40 cm. 35 cm. L R Q 50 cm.

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