Angle of Elevation and Depression Worksheet
This worksheet focuses on understanding and applying the concepts of angle of elevation and depression in various real-world scenarios for Grade 10 students.
Includes
Standards
Topics
Angle of Elevation and Depression
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Read each question carefully and solve for the unknown angle or side. Round your answers to two decimal places where necessary.
1. An observer stands 100 meters away from the base of a building. The angle of elevation to the top of the building is 30 degrees. Which trigonometric ratio would you use to find the height of the building?
Sine
Cosine
Tangent
Secant
2. From the top of a 50-meter cliff, the angle of depression to a boat is 45 degrees. What is the horizontal distance from the base of the cliff to the boat?
25 meters
50 meters
75 meters
100 meters
3. The angle of is formed when an observer looks upwards from a horizontal line to an object above.
4. The angle of is formed when an observer looks downwards from a horizontal line to an object below.
5. A ladder leans against a wall. The base of the ladder is 4 meters from the wall, and the angle of elevation of the ladder is 70 degrees. Draw a diagram representing this situation and calculate the length of the ladder.
6. An airplane is flying at an altitude of 5000 feet. The angle of depression from the airplane to the runway is 15 degrees. What is the horizontal distance the airplane needs to travel to reach the runway?
7. The angle of elevation is always equal to the angle of depression when observed from two different points along a horizontal line to the same object.
True
False
8. A hot air balloon is 200 meters directly above a point A on the ground. A person at point B, 300 meters away from point A on the ground, observes the balloon. Calculate the angle of elevation of the balloon from point B.