Angle of Elevation and Depression Worksheet
Grade 12 math worksheet on angle of elevation and depression, including real-world problems and trigonometric calculations.
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Angle of Elevation and Depression
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Read each problem carefully and solve for the unknown angle or length. Round your answers to two decimal places where necessary.
1. A person standing 50 meters away from the base of a building observes the top of the building at an angle of elevation of 60°. What is the height of the building?
2. From the top of a cliff 120 meters high, the angle of depression to a boat at sea is 30°. How far is the boat from the base of the cliff?
3. The angle of elevation is the angle formed by the and the line of sight to an object the observer.
4. The angle of depression is the angle formed by the and the line of sight to an object the observer.
5. A ladder leans against a wall, making an angle of 70° with the ground. If the base of the ladder is 3 meters from the wall, what is the length of the ladder?
3.19 meters
8.77 meters
10.23 meters
11.14 meters
6. An airplane is flying at an altitude of 5000 meters. The angle of depression from the airplane to a landmark on the ground is 25°. What is the horizontal distance between the airplane and the landmark?
7. If the angle of elevation from point A to point B is 45°, then the angle of depression from point B to point A is also 45°.
True
False