3D Trigonometry: Solving for the Angle between a Line and a Plane in a Triangular Prism

3D Trigonometry: Solving for the Angle between a Line and a Plane in a Triangular Prism

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Hard

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The video tutorial explains how to solve a geometry problem involving a 3D shape. It begins by identifying the problem and the given data, then proceeds to set up the problem by identifying relevant triangles. The tutorial applies Pythagoras' theorem to find side lengths and uses trigonometry to calculate the angle between a line and a plane. The solution is summarized with a focus on the methods used and the allocation of marks for each step.

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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you apply Pythagoras' theorem to find the length of side DB?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula for Pythagoras' theorem?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to use trigonometry to find angle X in triangle DEB.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final answer for the angle X rounded to one decimal place?

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