Finding the measure of angle when given two side lengths of a triangle - math help

The video tutorial explains how to find a missing angle in a right triangle using trigonometric functions. It begins with an introduction to right triangles and their properties, followed by an overview of the tangent, sine, and cosine functions. The tutorial then covers how to identify the hypotenuse, opposite, and adjacent sides of a triangle. Finally, it demonstrates how to use the sine function and its inverse to calculate a missing angle, providing a step-by-step guide to solving the problem.

What is the significance of the small square in the corner of a triangle?

• It shows the triangle is equilateral.

• It represents an obtuse angle.

• It indicates a right angle.

• It marks the longest side.

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

• Cotangent

• Tangent

• Cosine

• Sine

In a right triangle, which side is always the longest?

• Opposite side

• Adjacent side

• Hypotenuse

• Base

If the opposite side is 5 and the hypotenuse is 8, what is the sine of the angle?

• 0.625

• 0.75

• 0.5

• 0.8

What is the purpose of using the inverse sine function in this context?

• To determine the measure of the angle

• To calculate the area of the triangle

• To find the length of the hypotenuse

• To find the perimeter of the triangle

Which trigonometric function is used when you have the opposite side and hypotenuse?

• Tangent

• Secant

• Sine

• Cosine

What is the approximate measure of angle X if the sine of X is 0.625?

• 30 degrees

• 39 degrees

• 45 degrees

• 60 degrees