“I love waking up in the morning not knowing where I'm gonna go
or who I'm gonna meet. Just the other night I was sleeping under
a bridge, and now here I am, on the grandest ship in the world,
having champagne with you fine people.”
8.3b/8.4b: Tangent, Sine, and Cosine Ratios
8.5: Angles of Elevation and Depression
Sine/Cosine
Tangent:
Sine: sin A 
opposite
hypotenuse

opposite
tan A 
adjacent
Cosine: cos A 
SOHCAHTOA


adjacent
hypotenuse
Trig
Find the value of the variable to the nearest tenth.
2)
1)

3)

Trig
Find x to the nearest degree.
Find x to the nearest degree.
Trig
Find the value of x in the following triangles.
1)
2)

3)

Angle of Elevation
Angle of Elevation: the angle to which an observer would have to
raise their line of sight above a horizontal line to see an object
Angle of Elevation
Angle of Depression: the angle that an observer would have to
lower their line of sight below a horizontal line to see an object
Angle of Elevation
A surveyor stands 200ft from a building to measure
its height with a 5ft tall theodolite. The angle of
elevation to the top of the building is 35°. How tall
is the building.
Angle of Depression
An airplane is flying 3500 ft above the ground
and begins a 2°descent to land at an airport.
How many miles from the airport is the airplane
when it starts its descent?
3500ft
2°
x
2°
Angles of elevation and depression
A campsite is 9.41 miles from a point directly below
the mountain top. If the angle of elevation is 12º from
the camp to the top of the mountain, how high is the
mountain?
8.3b/8.4b: Tangent, Sine, and Cosine Ratios
8.5: Angles of Elevation and Depression
HW:
Wrksht 8.3-8.4
THT:
Due Monday!!!