Solving Right Triangles with Angles and Hypotenuse

The video tutorial explains how to solve a right triangle given the length of the hypotenuse and one angle. It starts by labeling the triangle's sides and angles, then calculates the unknown angle using complementary angles. The tutorial proceeds to find the lengths of the other two sides using trigonometric functions: sine for the opposite side and cosine for the adjacent side. The importance of using a calculator in degree mode is emphasized, and the results are approximated to the nearest tenth.

What is the length of the hypotenuse in the problem?

• 50 degrees

• 9.2 units

• 40 degrees

• 12 units

What is the measure of angle B?

• 40 degrees

• 50 degrees

• 180 degrees

• 90 degrees

What must be the sum of angles A and B in a right triangle?

• 270 degrees

• 360 degrees

• 90 degrees

• 180 degrees

Which trigonometric function is used to find the length of side A?

• Cotangent

• Tangent

• Cosine

• Sine

What mode should the calculator be in to perform trigonometric calculations?

• Degree mode

• Scientific mode

• Gradient mode

• Radian mode

What is the approximate length of side A?

• 7.7 units

• 9.2 units

• 12 units

• 40 degrees

Which side length is known exactly and used in calculations to minimize error?

• None

• Side A

• Side B

• Side C

Why is it recommended to use the known exact value of side C in calculations?

• To minimize rounding errors

• Because it's the longest side

• To simplify calculations

• None of the above

Which trigonometric function is used to find the length of side B?

• Tangent

• Cosine

• Secant

• Sine

What is the approximate length of side B?

• 40 degrees

• 12 units

• 7.7 units

• 9.2 units