GCSE Secondary Maths Age 13-17 - Pythagoras & Trigonometry: 3D Trigonometry - Explained

The video tutorial explains how to solve a geometry problem involving a cuboid. It begins by introducing the problem and the given measurements, such as the lengths of sides and angles. The teacher then explains the geometry of the cuboid, focusing on right angles and the 3D nature of the shape. The tutorial proceeds to calculate the hypotenuse of a triangle using the cosine function and then finds the angle X using the tangent function. Finally, the teacher summarizes the solution and discusses the allocation of marks for the problem.

What is the length of side AB in the cuboid?

• 7.3 cm

• 8.1 cm

• 9.8 cm

• 6.5 cm

What is the angle B2C2A in the cuboid?

• 90 degrees

• 48 degrees

• 42 degrees

• 39.5 degrees

Which trigonometric function is used to find the diagonal AC?

• Cosine

• Tangent

• Sine

• Secant

What is the calculated length of diagonal AC?

• 9.82 cm

• 7.3 cm

• 9.8 cm

• 8.1 cm

Which trigonometric function is used to find angle X?

• Tangent

• Cosine

• Cotangent

• Sine

What is the final calculated angle X, rounded to one decimal place?

• 90 degrees

• 48 degrees

• 42 degrees

• 39.5 degrees

How many marks were allocated for realizing the use of a triangle in the base of the cuboid?

• 4 marks

• 3 marks

• 2 marks

• 1 mark