Solving Right Triangles with Angles and Legs

The video tutorial explains how to solve a right triangle problem given the length of side B and the measure of angle B. It starts by calculating the measure of angle A using the sum of angles in a triangle. Then, it uses trigonometric functions to find the lengths of sides A and C. The cosine function is used to determine side C, while the tangent function helps find side A. The tutorial emphasizes the importance of using a calculator in degree mode and concludes with a summary of the findings.

What is the measure of angle A if angle B is 38 degrees in a right triangle?

• 58 degrees

• 48 degrees

• 42 degrees

• 52 degrees

What is the sum of the acute angles in any right triangle?

• 45 degrees

• 180 degrees

• 100 degrees

• 90 degrees

Which trigonometric function is used to find the hypotenuse when given the adjacent side and an angle?

• Tangent

• Sine

• Cosecant

• Cosine

If side B is 8 units and the cosine of angle A is used, what is the equation to find side C?

• C x cosine(52 degrees) = 8

• C x sine(52 degrees) = 8

• C x tangent(52 degrees) = 8

• C x secant(52 degrees) = 8

What is the length of side C when the adjacent side B is 8 units and angle A is 52 degrees?

• 13.0 units

• 12.0 units

• 15.0 units

• 14.0 units

How do you calculate the length of the hypotenuse in a right triangle using the cosine function?

• Multiply the length of the opposite side by the cosine of the angle

• Divide the length of the opposite side by the cosine of the angle

• Divide the length of the adjacent side by the cosine of the angle

• Multiply the length of the adjacent side by the cosine of the angle

What is the correct mode setting on a calculator for solving trigonometric functions in degrees?

• Scientific mode

• Degree mode

• Radian mode

• Gradient mode

Which trigonometric function relates the opposite side to the adjacent side in a right triangle?

• Sine

• Secant

• Tangent

• Cosine

What is the length of side A when side B is 8 units and angle A is 52 degrees?

• 11.2 units

• 9.2 units

• 10.2 units

• 12.2 units

What is the result of 8 multiplied by the tangent of 52 degrees?

• Approximately 10.2 units

• Approximately 12.2 units

• Approximately 9.2 units

• Approximately 11.2 units