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Angles of Elevation and Depression LESSON 8-5 Additional Examples 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. Quick Check HELP GEOMETRY Angles of Elevation and Depression LESSON 8-5 Additional Examples 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 tan 35° = 200 Use the tangent ratio. x = 200 • tan 35° 200 35 Solve for x. Use a calculator. So x 140. 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. HELP Quick Check GEOMETRY Angles of Elevation and Depression LESSON 8-5 Additional Examples 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. sin 2° = x= 3500 2 5280 3500 x Use the sine ratio. 3500 sin 2° Solve for x. Use a calculator. Divide by 5280 to convert feet to miles. The airplane is about 19 mi from the airport when it starts its descent. Quick Check HELP GEOMETRY