I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth....

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I4 Angles of Elevation and Depression

Transcript of I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth....

Page 1: I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth. Identify the pairs of alternate interior angles. OBJ: SWBAT.

I4 Angles of Elevation and Depression

Page 2: I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth. Identify the pairs of alternate interior angles. OBJ: SWBAT.

Drill: Mon, 5/2

• Solve . Round to the nearest hundredth.

• Identify the pairs of alternate interior angles.

• OBJ: SWBAT solve problems involving angles of elevation and depression.

Page 3: I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth. Identify the pairs of alternate interior angles. OBJ: SWBAT.

Can you label the angles correctly?

Page 4: I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth. Identify the pairs of alternate interior angles. OBJ: SWBAT.

Example 1: Classify each as an angle of elevation or angle of

depression.

Page 5: I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth. Identify the pairs of alternate interior angles. OBJ: SWBAT.

An angle of elevation is the angle formed by a horizontal line and a line of sight to a point above the line. In the diagram, 1 is the angle of elevation from the tower T to the plane P.

An angle of depression is the angle formed by a horizontal line and a line of sight to a point below the line. 2 is the angle of depression from the plane to the tower.

Page 6: I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth. Identify the pairs of alternate interior angles. OBJ: SWBAT.

Since horizontal lines are parallel, 1 2 by the Alternate Interior Angles Theorem. Therefore the angle of elevation from one point is congruent to the angle of depression from the other point.

Page 7: I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth. Identify the pairs of alternate interior angles. OBJ: SWBAT.

Example 2

Page 8: I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth. Identify the pairs of alternate interior angles. OBJ: SWBAT.

Solution

Page 9: I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth. Identify the pairs of alternate interior angles. OBJ: SWBAT.

Example 3 On your own

Page 10: I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth. Identify the pairs of alternate interior angles. OBJ: SWBAT.

Example 4

Page 11: I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth. Identify the pairs of alternate interior angles. OBJ: SWBAT.

Solution

Page 12: I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth. Identify the pairs of alternate interior angles. OBJ: SWBAT.

Example 5On your own

Page 13: I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth. Identify the pairs of alternate interior angles. OBJ: SWBAT.

Bookwork Practice

• Page 547 • #10 – 20• #28 – 30

Page 14: I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth. Identify the pairs of alternate interior angles. OBJ: SWBAT.

Exit Ticket

Page 15: I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth. Identify the pairs of alternate interior angles. OBJ: SWBAT.

Challenge

Page 16: I4 Angles of Elevation and Depression. Drill: Mon, 5/2 Solve. Round to the nearest hundredth. Identify the pairs of alternate interior angles. OBJ: SWBAT.