Angles of Elevation/Depression in 3D: Fluency & Practice
Mathematics
Grade 7
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and calculating angles of elevation and depression in three-dimensional contexts for Grade 7 students.
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Angles of Elevation/Depression in 3D: Fluency & Practice
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A person stands 20 meters away from the base of a tall building. The angle of elevation from the person’s eye level to the top of the building is 30°. Calculate the height of the building above the person’s eye level.
[3 marks]2.
A drone is flying at a height of 50 meters. From a point on the ground 80 meters horizontally away from the drone’s vertical line, the angle of depression to the drone is 30°. Find the horizontal distance from the point to the drone’s vertical line.
[3 marks]3.
Construct a triangle with a vertical height of 15 cm and a base of 10 cm. Use the grid to draw the triangle and label the angles of elevation and depression from the top and bottom points.
[4 marks]4.
Calculate the angle of elevation from a point 25 meters away from a tower of height 40 meters.
[2 marks]5.
A boat is 100 meters offshore from a lighthouse. The angle of depression from the top of the lighthouse to the boat is 20°. Calculate the height of the lighthouse.
[3 marks]6.
In a 3D scene, a person looks up at a point on a building at an angle of elevation of 45°. If the person’s eye level is 1.5 meters above ground, and the point is 10 meters horizontally away from the person, what is the height of the point on the building above the person’s eye level?
[3 marks]7.
A mountain appears at an angle of depression of 25° from the top of a viewing tower. If the tower is 60 meters high, find the horizontal distance from the tower to the mountain.
[3 marks]8.
Explain the difference between an angle of elevation and an angle of depression in a 3D context. Provide an example scenario for each.
[4 marks]9.
A helicopter is flying at a height of 150 meters. From a point 200 meters horizontally away, the angle of depression to the helicopter is 37°. Find the horizontal distance from the point to the helicopter’s vertical line.
[3 marks]10.
Identify and correct the mistake in the following statement: 'The angle of elevation from the top of a building to a point on the ground directly below the top is 0°, because the line of sight is vertical.'
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet