Notes on 8-5

1. ANGLES OF ELEVATION
AND DEPRESSION
Jim Smith JCHS
Section 8-5 spi.3.1.B

2. Angles Of Elevation And Depression
Must Have One Horizontal Side.
Elevation
Depression

3. A
B
C
ACB Is An Angle Of Elevation.
DBC Is An Angle Of Depression.
ABC Is Not An Angle Of Depression!
D

4. Name The Angles Of Elevation
And Depression
1
2
3
4
5
6
Depression
Elevation
Elevation
Depression

5. Depression
Elevation
These Angles Are
Alternate Interior Angles…
They’re Congruent

6. A Skydiver Jumps From A Plane. When He Lands, The Angle
Of Elevation From The Ground To The Plane Is 51°. If The
Plane Maintains An Altitude Of 4000 Feet , What Is The
Straight Line Distance From The Skydiver To The Plane?
4000
51°
X

7. 3
.
5147
4000
7771
.
4000
1
7771
.
4000
51
sin




x
x
x
x

8. A Tree Casts A Shadow 87 Feet Long.
If The Angle Of Elevation From The
Ground To The Top Of The Tree
Is 50°, Find The Height Of The Tree.
50°
87
x

9. feet
7
.
103
87
1
1917
.
1
87
50
tan



x
x
x

10. If The Kite Is 100 Feet High And The
Angle Of Depression From The Kite To
Wiley Is 39°, If Wiley Is Holding The
String 4 Feet Off The Ground, Find
The Distance Along The String The
Lightening Must Travel To
Reach The Key.
4
96
39
x
39

11. feet
6
.
156
4
6
.
152
6
.
152
96
1
6293
.
96
39
sin





x
x
x

12. A rocket ship is two miles above sea level when it begins to climb at
a constant angle of 3.5° for the next 40 ground miles. About how far
above sea level is the rocket ship after its climb?
3.5°
40
x
2

13. Two horses are observed by a hang glider 80 meters above a meadow.
The angles of depression are 10.4° and 8°. How far apart are the horses?
8º 10.4º
80
8º 10.4º

14. Two horses are observed by a hang glider 80 meters above a meadow.
The angles of depression are 10.4° and 8°. How far apart are the horses?
8º
80
8º
Tan 8° = 80/x
X = 569.2
x

15. Two horses are observed by a hang glider 80 meters above a meadow.
The angles of depression are 10.4° and 8°. How far apart are the horses?
10.4º
80
10.4º y
Tan 10.4 = 80/y
Y = 435.9

16. Two horses are observed by a hang glider 80 meters above a meadow.
The angles of depression are 10.4° and 8°. How far apart are the horses?
80
8º 10.4º
569.2
435.9
569.2 – 435.9 = 133.3

17. A traffic helicopter pilot 60 meters above the road spotted two cars.
The angles of depression are 10.2° and 8.7°. How far apart are the
cars?

18. A traffic helicopter pilot 60 meters above the road spotted two cars.
The angles of depression are 10.2° and 8.7°. How far apart are the
cars?
8.7°
8.7°
60
Tan 8.7° = 60/x
X = 392.1
x

19. A traffic helicopter pilot 60 meters above the road spotted two cars.
The angles of depression are 10.2° and 8.7°. How far apart are the
cars?
10.2°
10.2°
y
Tan 10.2 = 60/y
Y = 333.5

20. A traffic helicopter pilot 60 meters above the road spotted two cars.
The angles of depression are 10.2° and 8.7°. How far apart are the
cars?
392.1
333.5
392.1 – 333.5 = 58.6