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A line l passes through point P(2,1,3) and makes an angle with the horizontal plane. The projection of line l onto the horizontal plane makes an angle of 45° with the x-axis. The length of the line segment from P to Q on line l is 10 units, and the vertical height from P to Q is 6 units.
Description
Line l and its projection
Line l passes through P(2,1,3). The projection of l onto the horizontal plane makes a 45° angle with the x-axis. The segment PQ has length 10 units and vertical height 6 units.
- a[4]
Calculate the angle between line l and the horizontal plane.
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Maths method check
- Topic focus: Pythagoras’ theorem and trigonometry.
- Question style: structured_mathematics.
- Reasoning demand: reasoning.
- Check the operation, notation, units, and final answer form against the question before moving on.
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