Calculating Angles and Sides

The video tutorial covers the tangent law, a method for solving triangles, both right and non-right angled. It explains how to name the sides and angles of a triangle, and demonstrates using the tangent law to solve for an unknown side. The tutorial includes a detailed walkthrough of setting up the triangle, applying the tangent law, and solving the resulting equation step-by-step.

What is the primary purpose of the Tangent Law in triangle calculations?

• To solve for an unknown side or angle in a triangle

• To determine the type of triangle

• To calculate the perimeter of a triangle

• To find the area of a triangle

In the context of Tangent Law, what does the lowercase letter represent?

• The hypotenuse

• The base

• The side

• The angle

What is the significance of naming opposite sides and angles with the same letter?

• It is used only in right-angle triangles

• It helps in identifying the hypotenuse

• It simplifies the application of the law

• It is a requirement for all triangle calculations

What are the given angles in the triangle example used in the video?

• 30° and 90°

• 45° and 45°

• 90° and 45°

• 60° and 30°

What is the length of the known side in the triangle example?

• 6 meters

• 5 meters

• 4 meters

• 3 meters

What is the purpose of subtracting the known angles from 180°?

• To determine the type of triangle

• To calculate the perimeter

• To find the third angle

• To find the area of the triangle

What is the significance of the angle 90° in the triangle example?

• It is irrelevant to the calculation

• It indicates a right-angle triangle

• It is the smallest angle

• It is the largest angle

Which law is typically used to solve for an unknown side when an opposite ratio is known?

• Pythagorean Theorem

• Tangent Law

• Sine Law

• Cosine Law

What is the first step in applying Tangent Law to solve for an unknown side?

• Identify the hypotenuse

• Calculate the area of the triangle

• Set up the equation using known values

• Determine the type of triangle

What is the result of tan(45°) used in the calculation?

• 0

• 2

• 1

• 0.5