Applications of Trig Functions. Angle of Elevation: the angle from the line of sight and upwards. Angle of Elevation Angle of Depression: the angle from.

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Presentation transcript:

Applications of Trig Functions

Angle of Elevation: the angle from the line of sight and upwards. Angle of Elevation Angle of Depression: the angle from the line of sight and downwards. Angle of Depression Angles of Elevation and Depression

Practice: Angles of Elevation 1.To measure the height of an inaccessible TV tower, a surveyor paces out a base line of 200m and measures the angle of elevation to the top of the tower to be 62°. How high is the tower? (The distance from the surveyor’s eyes to the round is 2m.)

Practice: Angles of Elevation 2.A tourist stands 15m back from the base of a statue and looks up to the top of the statue. If the angle of evaluation is 48°, find the height of the statue. (The distance from the tourists eyes to the ground is 1.5 m)

Practice: Angles of Depression 3.An airplane is flying at a height of 2 miles above the ground. The distance along the ground from the airplane to the airport is 5 miles. What is the angle of depression from the airplane to the airport?

Practice: Angles of Depression 4.A bird sits on top of a lamppost. The angle of depression from the bird to the feet of an observer standing away from the lamppost is 35 . The distance from the bird to the observer is 25 meters. How tall is the lamppost?