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# Mat2793 - Angle of Elevation

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• (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.

### Transcript

• 1. Angle of Elevation and Slope
• 2. Slope Tangentrise opp run adj rise opposite slope = tan = run adjacent
• 3. Angle of Elevation Angle of elevation
• 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. SummaryFinding angle of elevation Finding a side using angle of elevation x
• 22. IMAGE CREDITS Bow Valley College