“i love waking up in the morning not knowing where i'm gonna go or who i'm gonna meet....

“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

Sine:

sinAopposite

hypotenuse Cosine:

cosAadjacent

hypotenuse

SOHCAHTOA

Tangent:

tanAoppositeadjacent

1)

TrigFind the value of the variable to the nearest tenth.

3)

2)

Find x to the nearest degree.

Trig

Find x to the nearest degree.

TrigFind 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 ElevationA 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 DepressionAn 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?

3500

ft

2°

x

2°

Angles of elevation and depressionA 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

HW: Wrksht 8.3-8.4

THT: Due Monday!!!

8.5: Angles of Elevation and Depression