Mat2793 - Angle of Elevation
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Mat2793 - Angle of Elevation
- 1. Angle of Elevation and Slope
- 2. Slope Tangent rise opp run adj rise opposite slope = tan = run adjacent
- 3. Angle of Elevation Angle of elevation
- 4. Example Stacey needed to shingle her roof. The roofer asked her for the angle of elevation of her roof. Help Stacey calculate the angle. 5 ft 14 ft
- 5. Example Stacey needed to shingle her roof. The roofer asked her for the angle of elevation of her roof. Help Stacey calculate the angle. 5 ft x 14 ft
- 6. Example Stacey needed to shingle her roof. The roofer asked her for the angle of elevation of her roof. Help Stacey calculate the angle. 5 ft x 14 ft
- 7. Example Stacey needed to shingle her roof. The roofer asked her for the angle of elevation of her roof. Help Stacey calculate the angle. 5 ft x 14 ft
- 8. Example Stacey needed to shingle her roof. The roofer asked her for the angle of elevation of her roof. Help Stacey calculate the angle. 5 ft x 14 ft
- 9. Example Stacey needed to shingle her roof. The roofer asked her for the angle of elevation of her roof. Help Stacey calculate the angle. 5 ft x 14 ft
- 10. Example Stacey needed to shingle her roof. The roofer asked her for the angle of elevation of her roof. Help Stacey calculate the angle. 5 ft x 14 ft The angle of elevation of Stacey’s roof is 19.65°.
- 11. Example A control tower operator is looking at a plane taking off. If he can see the plane at an angle of elevation of 15° and the plane is 350 m above the control tower, what is the horizontal distance from the control tower to the airplane? 15° 350 m
- 12. Example A control tower operator is looking at a plane taking off. If he can see the plane at an angle of elevation of 15° and the plane is 350m above the control tower, what is the horizontal distance from the control tower to the airplane? 15° 350 m
- 13. Example A control tower operator is looking at a plane taking off. If he can see the plane at an angle of elevation of 15° and the plane is 350m above the control tower, what is the horizontal distance from the control tower to the airplane? 15° 350 m
- 14. Example A control tower operator is looking at a plane taking off. If he can see the plane at an angle of elevation of 15° and the plane is 350m above the control tower, what is the horizontal distance from the control tower to the airplane? 15° 350 m
- 15. Example A control tower operator is looking at a plane taking off. If he can see the plane at an angle of elevation of 15° and the plane is 350m above the control tower, what is the horizontal distance from the control tower to the airplane? 15° 350 m
- 16. Example A control tower operator is looking at a plane taking off. If he can see the plane at an angle of elevation of 15° and the plane is 350m above the control tower, what is the horizontal distance from the control tower to the airplane? 15° 350 m
- 17. Example A control tower operator is looking at a plane taking off. If he can see the plane at an angle of elevation of 15° and the plane is 350m above the control tower, what is the horizontal distance from the control tower to the airplane? 15° 350 m
- 18. Example A control tower operator is looking at a plane taking off. If he can see the plane at an angle of elevation of 15° and the plane is 350m above the control tower, what is the horizontal distance from the control tower to the airplane? 15° 350 m
- 19. Example A control tower operator is looking at a plane taking off. If he can see the plane at an angle of elevation of 15° and the plane is 350m above the control tower, what is the horizontal distance from the control tower to the airplane? 15° 350 m
- 20. Example A control tower operator is looking at a plane taking off. If he can see the plane at an angle of elevation of 15° and the plane is 350m above the control tower, what is the horizontal distance from the control tower to the airplane? 15° 350 m The plane is 1306 m away from the control tower.
- 21. Summary Finding angle of elevation Finding a side using angle of elevation x
- 22. IMAGE CREDITS Bow Valley College
Notas do Editor
- (section 6.5)PurposeTo demonstrate how to find angle of elevationand using rise and run, how to solve angle of elevation questions to find rise or run
- Review previous topic: slope is rise over run, tangent is opposite over adjacent. We are assuming that students have worked with slope earlier in the unit and tangent in a previous unit.
- This slide is to show how the angle of elevation is related to the slope. We have used an image of a house with a roof to show the rise and run of the roof and the angle is between the horizontal line (run) and the hypotenuse.
- The triangle will highlight the information needed to solve this example. The rise and run are labeled.
- Only the roof of the house is shown with all known and unknown dimensions labeled. Introduce formulaFill in formulaRearrange formulaFind answer with answer statement
- Only the roof of the house is shown with all known and unknown dimensions labeled. Introduce formulaFill in formulaRearrange formulaFind answer with answer statement
- Only the roof of the house is shown with all known and unknown dimensions labeled. Introduce formulaFill in formulaRearrange formulaFind answer with answer statement
- Only the roof of the house is shown with all known and unknown dimensions labeled. Introduce formulaFill in formulaRearrange formulaFind answer with answer statement
- Only the roof of the house is shown with all known and unknown dimensions labeled. Introduce formulaFill in formulaRearrange formulaFind answer with answer statement
- Only the roof of the house is shown with all known and unknown dimensions labeled. Introduce formulaFill in formulaRearrange formulaFind answer with answer statement
- Introduce example with diagram of airplane and control tower. All dimensions are labeled.
- Same diagram but zoomed out.Identify all parts involved, and show what you know and what you are looking for (have 2 pieces still and need to find the third)Introduce formula.Fill in formula. Rearrange formula. Find answer with answer statement.
- Same diagram but zoomed out.Identify all parts involved, and show what you know and what you are looking for (have 2 pieces still and need to find the third)Introduce formula.Fill in formula. Rearrange formula. Find answer with answer statement.
- Same diagram but zoomed out.Identify all parts involved, and show what you know and what you are looking for (have 2 pieces still and need to find the third)Introduce formula.Fill in formula. Rearrange formula. Find answer with answer statement.
- Same diagram but zoomed out.Identify all parts involved, and show what you know and what you are looking for (have 2 pieces still and need to find the third)Introduce formula.Fill in formula. Rearrange formula. Find answer with answer statement.
- Same diagram but zoomed out.Identify all parts involved, and show what you know and what you are looking for (have 2 pieces still and need to find the third)Introduce formula.Fill in formula. Rearrange formula. Find answer with answer statement.
- Same diagram but zoomed out.Identify all parts involved, and show what you know and what you are looking for (have 2 pieces still and need to find the third)Introduce formula.Fill in formula. Rearrange formula. Find answer with answer statement.
- Same diagram but zoomed out.Identify all parts involved, and show what you know and what you are looking for (have 2 pieces still and need to find the third)Introduce formula.Fill in formula. Rearrange formula. Find answer with answer statement.
- Same diagram but zoomed out.Identify all parts involved, and show what you know and what you are looking for (have 2 pieces still and need to find the third)Introduce formula.Fill in formula. Rearrange formula. Find answer with answer statement.
- Same diagram but zoomed out.Identify all parts involved, and show what you know and what you are looking for (have 2 pieces still and need to find the third)Introduce formula.Fill in formula. Rearrange formula. Find answer with answer statement.
- Summary of the 2 examples and what you were looking for in each one and which equations you would use.