Find the measure of an angle using three side lengths of a triangles - math help

The video tutorial explains how to find the measure of an indicated angle in a triangle using trigonometric properties. It covers the identification of triangle sides, the use of tangent, sine, and cosine functions, and demonstrates how to apply these functions to solve for an angle. The tutorial also explains the use of inverse trigonometric functions to find the angle, ensuring that the correct values are plugged in for accurate results.

What is the significance of identifying a right angle in a triangle when solving for an angle?

• It allows the use of trigonometric properties.

• It helps in calculating the area of the triangle.

• It determines the type of triangle.

• It simplifies the calculation of the perimeter.

Which trigonometric function is defined as the ratio of the opposite side to the adjacent side?

• Sine

• Secant

• Cosine

• Tangent

How is the hypotenuse of a right triangle identified?

• It is the shortest side.

• It is the side opposite the right angle.

• It is the side adjacent to the right angle.

• It is the side with the smallest angle.

If the opposite side is 72 and the adjacent side is 65, what is the tangent of the angle?

• 1.10

• 0.90

• 1.07

• 0.95

What is the inverse function used for when calculating angles in trigonometry?

• To find the length of a side

• To convert degrees to radians

• To find the angle from a trigonometric ratio

• To simplify the trigonometric expression

Which trigonometric function would you use if you know the opposite side and the hypotenuse?

• Tangent

• Sine

• Cosine

• Cotangent

What is the angle measure if the sine of the angle is approximately 0.7422?

• 45 degrees

• 30 degrees

• 48 degrees

• 60 degrees