Warm Up: Find the missing information.

1
Warm Up Find the missing information.
2.
1.
3.
x
20 m
y
2
Angle of Elevation and Depression
3
Angle of Elevation
Angle of Elevation
If an observer looks UPWARD toward an object, the
angle the line of sight makes with the horizontal.
Angle of elevation
4
Angle of Depression
If an observer looks DOWNWARD toward an object,
the angle the line of sight makes with the
horizontal.
Angle of depression
5
1. Aviation

• A plane takes off from the end of the runway. If
  the pilot wants to clear a mountain that is 400 m
  high. What should the angle of elevation be for
  takeoff?

400 m
2025 m
6
2.An airplane is going to land on a runway and
the pilots angle of depression is set at 38
degrees. The airplane is 10,000 feet above the
ground. Find the distance from the plane to the
runway.
Runway
7

• 3. From the top of a 150 ft high tower, an air
  traffic controller observes an airplane on the
  runway. The angle of elevation from the airplane
  to the tower is 21 degrees. How far from the base
  of the tower is the airplane?

8
4. A surveyor is standing 50 meters from the base
of a large tree. The surveyor measures the angle
of elevation to the top of the tree as 71.5.
How tall is the tree?
tan 71.5
tan 71.5
?
50 (tan 71.5) y
71.5
50 m
y ? 149.4 m
9

• 5. You sight a rock climber on a cliff at a 32o
  angle of elevation. The horizontal ground
  distance to the cliff is 1000 ft. Find the line
  of sight distance to the rock climber.

x
1000 ft
10

• 6.An airplane pilots sights a life raft at a 26o
  angle of depression. The airplanes altitude is
  3 km. What is the airplanes surface distance d
  from the raft?

3 km
d