Angles of Elevation/Depression in 3D: Mixed Review
Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet reviewing angles of elevation and depression in three-dimensional contexts, combining procedural questions, problem-solving, real-world applications, and extension challenges.
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Angles of Elevation/Depression in 3D: Mixed Review
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
In a 3D scene, a person looks up at a tower from a point 50 meters away horizontally. The angle of elevation to the top of the tower is 30°. Calculate the height of the tower.
[3 marks]2.
A drone is flying at a height of 120 meters. From a point on the ground, the angle of depression to the drone is 45°. How far is the drone horizontally from the observer?
[3 marks]3.
Construct a triangle on the grid where the horizontal distance is 60 units and the angle of elevation is 45°. Use the grid to determine the height of the object.
[4 marks]4.
A lighthouse casts a shadow 80 meters long when the angle of elevation of the sun is 30°. Calculate the height of the lighthouse.
[3 marks]5.
A person standing 100 meters from a building observes the top at an angle of depression of 20°. Find the height of the building.
[3 marks]6.
A plane is flying at an altitude of 3000 meters. The angle of depression from the plane to a point on the ground is 10°. How far is the point from the point directly beneath the plane?
[3 marks]7.
A satellite observes a point on the Earth's surface at an angle of elevation of 45°. If the satellite is 600 km above the surface, calculate the horizontal distance to the point.
[3 marks]8.
In a construction scenario, a builder raises a pole such that the angle of elevation from a point 20 meters away is 60°. Determine the height of the pole.
[3 marks]9.
A ship is sailing at a point where the angle of depression to a lighthouse 5 km away is 5°. Calculate the height of the lighthouse.
[3 marks]10.
A student observes a tall building from a point 150 meters away. The angle of elevation is 60°. Draw the scenario on the grid and determine the height of the building.
[4 marks]11.
Identify and correct the mistake in this statement: 'The angle of elevation and depression are always measured from the horizontal, but they are always equal in 3D scenarios.'
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet