Right Triangles and Problem Solving. Applications: Angles of Elevation and Depression Angle of elevation: the line of sight above the horizontal Angle.

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Right Triangles and Problem Solving

Applications: Angles of Elevation and Depression Angle of elevation: the line of sight above the horizontal Angle of depression: the line of sight below the horizontal Angle of depression Angle of elevation Line of sight

Example 1 From a point on the ground 4 meters from the base of a tree, the angle of elevation to the top of the tree is 62°. Determine the height of the tree.

Example 2 The Gateway Arch St. Louis is 630 feet high. If a person is walking away from the Arch until the angle of elevation to the top is 55°, how far from the Arch is the person?Gateway Arch

Example 3 A stranded boater tries to gain attention of a rescue helicopter that is 70 feet away. If the helicopter is hovering at 30 feet, what is the angle of depression from the pilot to the boater?

Example 4 A tower with a height of 45 meters is 25 meters from point A. Find the angle of elevation from point A to the top of the tower.