Abstraction

To Solve Word Problems That Involve Angle of Elevation or Depression?

Step 1: Draw a sketch of the situation.

Step 2: Mark in the given angle of elevation or depression.

Step 3: Use trigonometry to find the required missing length.

Application

Draw and then solve the following problems

1. Joey flew a kite and let out all of his 500 metre string. If the kite made an angle of elevation of 30°, approximately how high was the kite?

2. A guy wire 18 metres long is attached to the top of an 12 metres high tower. Find the angle the wire makes with the ground.

3. The angle of elevation from the boat to the top of a 80-meter hill is 20°. How far is the boat from the base of the hill?

4. An airplane is flying at a height of 6 km above the ground. The distance along the ground from the observer to the airport is 7.5 km. What is the angle of depression from the airplane to the airport?