Trigonometry: Finding the Angle of a Trapezium

The video tutorial explains how to find the size of angle X in a trapezium by splitting it into a triangle and a rectangle. It uses trigonometry, specifically the tangent function, to calculate angle Y in the triangle. The final angle X is determined by adding angle Y to the right angle. The tutorial also discusses the allocation of marks for solving the problem.

What is the first step in solving for angle X in the trapezium?

• Use the Pythagorean theorem

• Calculate the area of the trapezium

• Find the perimeter of the trapezium

• Divide the trapezium into a triangle and a rectangle

How is the base of the triangle calculated?

• By adding the lengths of the trapezium and rectangle

• By subtracting the length of the rectangle from the trapezium

• By dividing the length of the trapezium by the rectangle

• By multiplying the lengths of the trapezium and rectangle

Which trigonometric function is used to find angle Y?

• Cotangent

• Sine

• Cosine

• Tangent

What is the value of angle Y before rounding?

• 33.584 degrees

• 33.58 degrees

• 33.5 degrees

• 33.6 degrees

How is the final value of angle X calculated?

• By dividing angle Y by 90 degrees

• By multiplying angle Y by 90 degrees

• By adding angle Y to 90 degrees

• By subtracting angle Y from 90 degrees

What is the final rounded value of angle X?

• 123.6 degrees

• 123.5 degrees

• 123.58 degrees

• 124 degrees

Which step is crucial for earning the first mark in the problem?

• Using the inverse tangent function

• Forming the right angle triangle

• Rounding the final answer

• Adding angle Y to 90 degrees