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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