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Worksheet: The Cosine Ratio: Finding an Angle

Q1:

What is the value of in the given triangle?

  • A
  • B
  • C
  • D
  • E

Q2:

What is the value of in the given triangle?

  • A
  • B
  • C
  • D
  • E

Q3:

Find the value of giving the answer to the nearest second.

  • A
  • B
  • C
  • D

Q4:

Find the measure of giving the answer to the nearest second.

  • A
  • B
  • C
  • D

Q5:

Find the measure of giving the answer to the nearest second.

  • A
  • B
  • C
  • D

Q6:

Find the value of .

  • A
  • B
  • C
  • D

Q7:

Find the value of .

  • A
  • B
  • C
  • D

Q8:

is a rhombus whose diagonals intersect at the point where and . Find the value of giving the answer to the nearest second.

  • A
  • B
  • C
  • D
  • E

Q9:

is a rhombus whose diagonals intersect at the point where and . Find the value of giving the answer to the nearest second.

  • A
  • B
  • C
  • D
  • E

Q10:

is a rhombus whose diagonals intersect at the point where and . Find the value of giving the answer to the nearest second.

  • A
  • B
  • C
  • D
  • E

Q11:

is an isosceles trapezoid where and . Find and giving the answer to the nearest second.

  • A,
  • B,
  • C,
  • D,

Q12:

A 20-feet ladder leans against the side of the building such that the bottom of the ladder is 4 feet from the bottom of the building. Health and safety specifications require the measure of the angle between the ladder and the ground to be between and . Does the ladder satisfy those specifications?

  • Ano
  • Byes

Q13:

A student rests their 15 cm ruler against a pen pot such that it makes an angle of with the horizontal desk. How far is the bottom of the ruler from the bottom of the pot? Give your answer in centimeters to one decimal place.