Angles of Elevation and Depression

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Presentation transcript:

Angles of Elevation and Depression Right Triangles Angles of Elevation and Depression

Angle of Elevation Line of Sight Horizontal X° X° An angle formed by a horizontal line and the line of sight to an object above the level of the horizontal.

Angle of Depression Horizontal X° X° Line of Sight An angle formed by a horizontal line and the line of sight to an object below the level of the horizontal.

The visual above follows the definitions given on the previous slide. The angle of elevation is equal to the angle of depression.

In the following situation where a student salutes the national flag In the following situation where a student salutes the national flag. Look at the following figure. A boy is saluting the national flag. The boy looks at the flag. This forms the angle of elevation. The line drawn from the flag to the boy's eye forms the angle of depression. The angle of elevation is equal to the angle of depression.

The sailboat is about 422 feet from the shore

The tunnel slope must be 10 degrees to reach the treasure.

The car is about 49.1 m from the building.

115.9 feet You need to add the height of the fire truck to x. The ladder can reach about 121.9 feet above the ground.

The tower leans about 4 degrees from vertical.

The balloon is about 709.9 meters away from the starting point. A hot-air balloon is competing in a race. After 20 minutes, the balloon is at an altitude of 300 meters. The pilot can still see the starting point at a 25 degree angle of depression. How many meters is the balloon from the starting point on the ground? 300 m 25 degrees The balloon is about 709.9 meters away from the starting point.

A 20 foot ladder leans against a wall so that the base of the ladder is 8 feet from the base of the building. What is the angle of elevation? 8 ft 20 ft X = 66

A surveyor is 305 feet from the base of the new courthouse A surveyor is 305 feet from the base of the new courthouse. Her angle measuring device is 5 feet above the ground. The angle of elevation to the top of the building is 42 degrees. Find the height of the courthouse. 305 ft 42 degrees 5 ft X = 274.6 feet You need to account for the measuring device that is 5 feet above the ground. So the height of the courthouse is about 279.6 feet.

Homework: Right Triangles Worksheet