1. GEOMETRY Describe 1 and 2 as they relate to the situation shown. One side of the angle of depression is a horizontal line. 1 is the angle of depression from the airplane to the building. One side of the angle of elevation is a horizontal line. 2 is the angle of elevation from the building to the airplane. Angles of Elevation and Depression LESSON 8-5 Additional Examples

2. GEOMETRY A surveyor stands 200 ft from a building to measure its height with a 5-ft tall theodolite. The angle of elevation to the top of the building is 35°. How tall is the building? Draw a diagram to represent the situation. x = 200 tan 35° Solve for x. Use the tangent ratio.tan 35° = x 200 To find the height of the building, add the height of the theodolite, which is 5 ft tall. The building is about 140 ft + 5 ft, or 145 ft tall. Angles of Elevation and Depression LESSON 8-5 Additional Examples Use a calculator.200 35 So x 140.

3. GEOMETRY An airplane flying 3500 ft above ground begins a 2° descent to land at an airport. How many miles from the airport is the airplane when it starts its descent? Draw a diagram to represent the situation. The airplane is about 19 mi from the airport when it starts its descent. Angles of Elevation and Depression LESSON 8-5 Additional Examples 3500 2Use a calculator. 5280 Divide by 5280 to convert feet to miles. Use the sine ratio.sin 2° = 3500 x x = 3500 sin 2° Solve for x.