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GEOMETRYHELP
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
Angles of Elevation and DepressionLESSON 8-5
Additional Examples
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GEOMETRYHELP
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 DepressionLESSON 8-5
Additional Examples
Quick Check
Use a calculator.200 35
So x 140.
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GEOMETRYHELP
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 DepressionLESSON 8-5
Additional Examples
Quick Check
3500 2 Use 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.