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