Trigonometry: Finding the Length of the Hypotenuse of a Right Triangle

The video tutorial explains how to solve for the value of X in a right-angle triangle using trigonometry, specifically the cosine function. It begins by identifying the sides of the triangle and selecting the appropriate trigonometric function. The tutorial then demonstrates how to rearrange the equation to isolate X and solve for its value. The final answer is rounded to three significant figures, and the video concludes with an explanation of the marks awarded for each step and tips for solving similar problems.

What is the angle used in the trigonometric function for this problem?

• 45 degrees

• 30 degrees

• 52 degrees

• 60 degrees

Which trigonometric function is used to solve for X in this problem?

• Tangent

• Secant

• Sine

• Cosine

What is the correct rearranged formula to solve for X?

• X = 12.6 * cos(52)

• X = 12.6 - cos(52)

• X = 12.6 / cos(52)

• X = 12.6 + cos(52)

Why is it important to use brackets when entering the angle into the calculator?

• To avoid syntax errors

• To save time

• To make the equation look neat

• To ensure the calculator uses the correct angle

What is the final answer for X rounded to three significant figures?

• 21.0 cm

• 20.6 cm

• 20.5 cm

• 20.4 cm