Solving Right Triangles with Trigonometry

What is the sum of all angles in a right triangle?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

Which angle is directly opposite side 'a' in a right triangle?

• None of the above

• Angle C

• Angle B

• Angle A

What is the value of cosine 30 degrees used in the calculations?

• 0.5

• 0.707

• 0.866

• 1

What is the result of rationalizing the denominator in the hypotenuse calculation?

• 8

• 8 sqrt(3)

• 24

• 24 sqrt(3)

What trigonometric ratio is used to find the hypotenuse when given an adjacent side?

• Sine

• Tangent

• Cosecant

• Cosine

What formula is used to calculate side 'a' in the first triangle example?

• a^2 + b^2 = c^2

• a^2 = b^2 + c^2

• a^2 = c^2 - b^2

• a^2 + c^2 = b^2

What is the length of side 'b' in the second triangle example?

• 29 units

• 21 units

• 30 units

• 20 units

How do you calculate the missing angle using tangent?

• Adjacent / Opposite

• Opposite / Hypotenuse

• Adjacent / Hypotenuse

• Opposite / Adjacent

What is the correct way to find angle B in a right triangle?

• Angle A + Angle C - 90

• 90 - Angle A

• 180 - Angle A - Angle C

• Angle A + Angle C - 180

What is the value of angle A in the second example when calculated using arc tangent?

• 46.4 degrees

• 90 degrees

• 180 degrees

• 43.6 degrees