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

Tags

CCSS.8.G.B.8

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

• Sine

• Cosine

• Tangent

• Cotangent

Tags

CCSS.HSG.SRT.C.6

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

• 90 degrees

• 22.6 degrees

• 67.4 degrees

• 45 degrees

Tags

CCSS.7.G.B.5

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

Tags

CCSS.HSG.SRT.C.8

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

Tags

CCSS.HSG.SRT.C.8

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

Tags

CCSS.HSG.SRT.C.6

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

Tags

CCSS.HSG.SRT.C.8

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

• Opposite/Hypotenuse

• Adjacent/Hypotenuse

• Opposite/Adjacent

• Hypotenuse/Opposite

Tags

CCSS.HSG.SRT.C.6

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

Tags

CCSS.HSG.SRT.C.8