Trigonometric Ratios and Angle Measures

The video tutorial explains how to find angle measures in right triangles using inverse trigonometric ratios. It covers the use of sine, cosine, and tangent functions to calculate angles, and demonstrates solving right triangles by finding all angles and side lengths. Additionally, it includes practical applications such as determining if a model train can handle specific inclines.

What is the purpose of using inverse trigonometric ratios in right triangles?

• To determine the measure of an angle

• To find the perimeter of the triangle

• To find the length of the hypotenuse

• To calculate the area of the triangle

Which trigonometric ratio is defined as opposite over hypotenuse?

• Tangent

• Cotangent

• Cosine

• Sine

How can you find the measure of an angle using the tangent ratio?

• By using the inverse tangent function

• By multiplying the opposite and adjacent sides

• By adding the opposite and adjacent sides

• By dividing the hypotenuse by the opposite side

In the example, what is the measure of angle A when the opposite side is 16 and the adjacent side is 20?

• 45.0 degrees

• 38.7 degrees

• 30.0 degrees

• 50.0 degrees

What is the measure of angle C when the opposite side is 20 and the adjacent side is 16?

• 45.0 degrees

• 51.3 degrees

• 30.0 degrees

• 60.0 degrees

What is the sum of the angles in a triangle?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

In the example, what is the measure of angle A when the opposite side is 15 and the adjacent side is 24?

• 90.0 degrees

• 60.0 degrees

• 45.0 degrees

• 32.0 degrees

How do you find the measure of angle B using the sine ratio?

• By multiplying the opposite and hypotenuse

• By adding the opposite and hypotenuse

• By dividing the adjacent side by the hypotenuse

• By using the inverse sine function

What is the measure of angle B when the opposite side is 18 and the hypotenuse is 27?

• 60.0 degrees

• 41.8 degrees

• 30.0 degrees

• 90.0 degrees

How do you find the measure of angle C using the cosine ratio?

• By dividing the opposite side by the hypotenuse

• By using the inverse cosine function

• By multiplying the adjacent and hypotenuse

• By adding the adjacent and hypotenuse