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Mat2793 - Angle of Elevation

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Mat2793 - Angle of Elevation

  1. 1. Angle of Elevation and Slope
  2. 2. Slope Tangentrise opp run adj rise opposite slope = tan = run adjacent
  3. 3. Angle of Elevation Angle of elevation
  4. 4. ExampleStacey needed to shingle her roof. The roofer asked her for the angle of elevationof her roof. Help Stacey calculate the angle. 5 ft 14 ft
  5. 5. ExampleStacey needed to shingle her roof. The roofer asked her for the angle of elevationof her roof. Help Stacey calculate the angle. 5 ft x 14 ft
  6. 6. ExampleStacey needed to shingle her roof. The roofer asked her for the angle of elevationof her roof. Help Stacey calculate the angle. 5 ft x 14 ft
  7. 7. ExampleStacey needed to shingle her roof. The roofer asked her for the angle of elevationof her roof. Help Stacey calculate the angle. 5 ft x 14 ft
  8. 8. ExampleStacey needed to shingle her roof. The roofer asked her for the angle of elevationof her roof. Help Stacey calculate the angle. 5 ft x 14 ft
  9. 9. ExampleStacey needed to shingle her roof. The roofer asked her for the angle of elevationof her roof. Help Stacey calculate the angle. 5 ft x 14 ft
  10. 10. ExampleStacey needed to shingle her roof. The roofer asked her for the angle of elevationof her roof. Help Stacey calculate the angle. 5 ft x 14 ft  The angle of elevation of Stacey’s roof is 19.65°.
  11. 11. ExampleA control tower operator is looking at a plane taking off. If he can see the plane atan angle of elevation of 15° and the plane is 350 m above the control tower, whatis the horizontal distance from the control tower to the airplane? 15° 350 m
  12. 12. ExampleA control tower operator is looking at a plane taking off. If he can see the plane atan angle of elevation of 15° and the plane is 350m above the control tower, whatis the horizontal distance from the control tower to the airplane? 15° 350 m
  13. 13. ExampleA control tower operator is looking at a plane taking off. If he can see the plane atan angle of elevation of 15° and the plane is 350m above the control tower, whatis the horizontal distance from the control tower to the airplane? 15° 350 m
  14. 14. ExampleA control tower operator is looking at a plane taking off. If he can see the plane atan angle of elevation of 15° and the plane is 350m above the control tower, whatis the horizontal distance from the control tower to the airplane? 15° 350 m
  15. 15. ExampleA control tower operator is looking at a plane taking off. If he can see the plane atan angle of elevation of 15° and the plane is 350m above the control tower, whatis the horizontal distance from the control tower to the airplane? 15° 350 m
  16. 16. ExampleA control tower operator is looking at a plane taking off. If he can see the plane atan angle of elevation of 15° and the plane is 350m above the control tower, whatis the horizontal distance from the control tower to the airplane? 15° 350 m
  17. 17. ExampleA control tower operator is looking at a plane taking off. If he can see the plane atan angle of elevation of 15° and the plane is 350m above the control tower, whatis the horizontal distance from the control tower to the airplane? 15° 350 m
  18. 18. ExampleA control tower operator is looking at a plane taking off. If he can see the plane atan angle of elevation of 15° and the plane is 350m above the control tower, whatis the horizontal distance from the control tower to the airplane? 15° 350 m
  19. 19. ExampleA control tower operator is looking at a plane taking off. If he can see the plane atan angle of elevation of 15° and the plane is 350m above the control tower, whatis the horizontal distance from the control tower to the airplane? 15° 350 m
  20. 20. ExampleA control tower operator is looking at a plane taking off. If he can see the plane atan angle of elevation of 15° and the plane is 350m above the control tower, whatis the horizontal distance from the control tower to the airplane? 15° 350 m  The plane is 1306 m away from the control tower.
  21. 21. SummaryFinding angle of elevation Finding a side using angle of elevation x
  22. 22. IMAGE CREDITS Bow Valley College

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