Trigonometry and Triangle Properties

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 given right triangle problem?

• 14 units

• 16 units

• 12 units

• 10 units

If angle A is 40 degrees, what is the measure of angle B in the triangle?

• 60 degrees

• 50 degrees

• 40 degrees

• 30 degrees

What is the sum of the interior angles of a triangle?

• 180 degrees

• 360 degrees

• 90 degrees

• 270 degrees

What is the sum of the two acute angles in a right triangle?

• 90 degrees

• 60 degrees

• 120 degrees

• 45 degrees

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

• Secant

• Sine

• Tangent

• Cosine

What is the approximate length of side A to the nearest tenth?

• 7.7 units

• 9.1 units

• 6.5 units

• 8.9 units

Why is it important to ensure the calculator is in degree mode?

• To ensure the calculator functions properly

• To make calculations faster

• To avoid errors in angle measurement

• To prevent battery drain

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

• Cotangent

• Tangent

• Sine

• Cosine

What is the approximate length of side B to the nearest tenth?

• 9.7 units

• 8.5 units

• 8.0 units

• 9.2 units

Why is side C preferred over side A for calculating side B?

• Side A is shorter

• Side C is exactly known

• Side C is longer

• Side A is not needed