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ANGLES OF ELEVATION
AND DEPRESSION
Jim Smith JCHS
Section 8-5 spi.3.1.B
Angles Of Elevation And Depression
Must Have One Horizontal Side.
Elevation
Depression
A
B
C
ACB Is An Angle Of Elevation.
DBC Is An Angle Of Depression.
ABC Is Not An Angle Of Depression!
D
Name The Angles Of Elevation
And Depression
1
2
3
4
5
6
Depression
Elevation
Elevation
Depression
Depression
Elevation
These Angles Are
Alternate Interior Angles
Theyre Congruent
A Skydiver Jumps From A Plane. When He Lands, The Angle
Of Elevation From The Ground To The Plane Is 51属. If The
Plane Maintains An Altitude Of 4000 Feet , What Is The
Straight Line Distance From The Skydiver To The Plane?
4000
51属
X
3
.
5147
4000
7771
.
4000
1
7771
.
4000
51
sin




x
x
x
x
A Tree Casts A Shadow 87 Feet Long.
If The Angle Of Elevation From The
Ground To The Top Of The Tree
Is 50属, Find The Height Of The Tree.
50属
87
x
feet
7
.
103
87
1
1917
.
1
87
50
tan



x
x
x
If The Kite Is 100 Feet High And The
Angle Of Depression From The Kite To
Wiley Is 39属, 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
feet
6
.
156
4
6
.
152
6
.
152
96
1
6293
.
96
39
sin





x
x
x
A rocket ship is two miles above sea level when it begins to climb at
a constant angle of 3.5属 for the next 40 ground miles. About how far
above sea level is the rocket ship after its climb?
3.5属
40
x
2
Two horses are observed by a hang glider 80 meters above a meadow.
The angles of depression are 10.4属 and 8属. How far apart are the horses?
8尊 10.4尊
80
8尊 10.4尊
Two horses are observed by a hang glider 80 meters above a meadow.
The angles of depression are 10.4属 and 8属. How far apart are the horses?
8尊
80
8尊
Tan 8属 = 80/x
X = 569.2
x
Two horses are observed by a hang glider 80 meters above a meadow.
The angles of depression are 10.4属 and 8属. How far apart are the horses?
10.4尊
80
10.4尊 y
Tan 10.4 = 80/y
Y = 435.9
Two horses are observed by a hang glider 80 meters above a meadow.
The angles of depression are 10.4属 and 8属. How far apart are the horses?
80
8尊 10.4尊
569.2
435.9
569.2  435.9 = 133.3
A traffic helicopter pilot 60 meters above the road spotted two cars.
The angles of depression are 10.2属 and 8.7属. How far apart are the
cars?
A traffic helicopter pilot 60 meters above the road spotted two cars.
The angles of depression are 10.2属 and 8.7属. How far apart are the
cars?
8.7属
8.7属
60
Tan 8.7属 = 60/x
X = 392.1
x
A traffic helicopter pilot 60 meters above the road spotted two cars.
The angles of depression are 10.2属 and 8.7属. How far apart are the
cars?
10.2属
10.2属
y
Tan 10.2 = 60/y
Y = 333.5
A traffic helicopter pilot 60 meters above the road spotted two cars.
The angles of depression are 10.2属 and 8.7属. How far apart are the
cars?
392.1
333.5
392.1  333.5 = 58.6

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8-5 Trig Angles of Elev and Depress.ppt

  • 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 Theyre Congruent
  • 6. A Skydiver Jumps From A Plane. When He Lands, The Angle Of Elevation From The Ground To The Plane Is 51属. If The Plane Maintains An Altitude Of 4000 Feet , What Is The Straight Line Distance From The Skydiver To The Plane? 4000 51属 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属, Find The Height Of The Tree. 50属 87 x
  • 10. If The Kite Is 100 Feet High And The Angle Of Depression From The Kite To Wiley Is 39属, 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
  • 12. A rocket ship is two miles above sea level when it begins to climb at a constant angle of 3.5属 for the next 40 ground miles. About how far above sea level is the rocket ship after its climb? 3.5属 40 x 2
  • 13. Two horses are observed by a hang glider 80 meters above a meadow. The angles of depression are 10.4属 and 8属. How far apart are the horses? 8尊 10.4尊 80 8尊 10.4尊
  • 14. Two horses are observed by a hang glider 80 meters above a meadow. The angles of depression are 10.4属 and 8属. How far apart are the horses? 8尊 80 8尊 Tan 8属 = 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属 and 8属. How far apart are the horses? 10.4尊 80 10.4尊 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属 and 8属. How far apart are the horses? 80 8尊 10.4尊 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属 and 8.7属. 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属 and 8.7属. How far apart are the cars? 8.7属 8.7属 60 Tan 8.7属 = 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属 and 8.7属. How far apart are the cars? 10.2属 10.2属 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属 and 8.7属. How far apart are the cars? 392.1 333.5 392.1 333.5 = 58.6