Solving Right Triangles: Techniques and Applications

What is the result of applying the Pythagorean theorem to a triangle with sides of length 5 and 12?

• 13

• 12

• 5

• 17

What trigonometric function is used to find an angle when opposite and adjacent sides are known?

• Sine

• Cosine

• Tangent

• Cotangent

What is the complementary angle of 22.6 degrees in a right triangle?

• 90 degrees

• 22.6 degrees

• 67.4 degrees

• 45 degrees

Which function is used to find an angle when you know the sides of a triangle?

• All of the above

• Inverse tangent

• Inverse cosine

• Inverse sine

What is the main purpose of using inverse trigonometric functions in triangle problems?

• To find side lengths

• To determine perimeter

• To find angle measures

• To calculate area

If the tangent of an angle is the ratio of the opposite side to the adjacent side, what is the tangent of 25 degrees given sides of lengths 4 and X?

• X

• 4/X

• X/4

• 1

What is the correct way to solve for a side using the tangent of an angle?

• None of the above

• Add the lengths of the known sides

• Divide the length of the opposite by the tangent of the angle

• Multiply the lengths of the known sides

How do you calculate the missing side in a triangle using the sine function?

• Opposite/Hypotenuse

• Adjacent/Hypotenuse

• Opposite/Adjacent

• Hypotenuse/Opposite

What should you do to ensure accuracy when rounding in trigonometric calculations?

• Ignore small errors

• Use original values when possible

• Always round down

• Always round up

What is the hypotenuse length if the opposite side is 4 and the angle is 25 degrees using sine?

• 9.5

• 25

• 4

• 8.6