Tangent Ratios and Fraction Simplification

The video tutorial explains how to find the tangent ratio of acute angles in a right triangle. It begins with an introduction to tangent ratios, followed by a detailed calculation of the tangent for angle J, including simplification and conversion to decimal form. The tutorial then covers the tangent calculation for angle K, highlighting the change in opposite and adjacent sides, and provides the simplified fraction and decimal form.

What is the first step in finding the tangent ratio in a right triangle?

• Identify the hypotenuse

• Mark the right angle

• Find the longest side

• Calculate the area

What is the ratio of tangent in a right triangle?

• Adjacent to hypotenuse

• Opposite to adjacent

• Hypotenuse to opposite

• Adjacent to opposite

Which angles are considered acute in a right triangle?

• All angles in the triangle

• The angle opposite the hypotenuse

• The right angle

• The two angles other than the right angle

What is the opposite side to angle J in the given triangle?

• 40

• 24

• 16

• 32

How do you simplify the fraction 24/32?

• Multiply by 2

• Divide by 8

• Subtract 8

• Divide by 4

Which side is adjacent to angle J?

• 32

• 40

• 24

• 16

What is the simplified fraction for the tangent of angle J?

• 3/4

• 4/3

• 2/3

• 1/2

What is the decimal representation of the tangent of angle J rounded to four decimal places?

• 0.3333

• 0.6667

• 0.5000

• 0.7500

What is the opposite side to angle K in the given triangle?

• 24

• 32

• 40

• 16

How do you simplify the fraction 32/24?

• Subtract 8

• Divide by 4

• Divide by 8

• Multiply by 2