Angle of Depression Worksheet
A Grade 9 Math worksheet focusing on understanding and calculating the angle of depression using trigonometry.
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Angle of Depression
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. The angle of depression is the angle between the horizontal line of sight and the line of sight when looking:
Upwards to an object
Downwards to an object
Straight ahead
Perpendicular to the ground
2. In a right-angled triangle, if you are at the top of a cliff looking down at a boat, the angle of depression is equal to the angle of elevation from the boat to the top of the cliff. This is due to:
Corresponding angles
Vertically opposite angles
Alternate interior angles
Consecutive interior angles
3. A person standing on top of a 50-meter tall lighthouse observes a boat at sea. The angle of depression to the boat is 30 degrees. How far is the boat from the base of the lighthouse? (Round your answer to two decimal places).
4. An airplane is flying at an altitude of 1000 meters. The pilot observes an airport at an angle of depression of 25 degrees. What is the horizontal distance between the airplane and the airport? (Round your answer to two decimal places).
5. The angle of depression is always measured from a horizontal line looking upwards.
True
False
6. If the angle of depression from point A to point B is 45 degrees, then the angle of elevation from point B to point A is also 45 degrees.
True
False
7. The line of sight when measuring the angle of depression is always to the horizontal.
8. To calculate the distance using the angle of depression, you typically use trigonometric ratios such as , cosine, or tangent.
9. A bird is perched on a tree branch 15 meters above the ground. It spots a worm on the ground at an angle of depression of 40 degrees. What is the direct distance (line of sight) from the bird to the worm? (Round your answer to two decimal places).