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Worksheet: Finding a Missing Angle in a Right Triangle Using Inverse Trigonometric Functions

Q1:

The height of a ski slope is 16 meters and the length is 20 meters. Find the measure of giving the answer to two decimal places.

  • A
  • B
  • C
  • D

Q2:

The height of a ski slope is 4 meters and the length is 5 meters. Find the measure of giving the answer to two decimal places.

  • A
  • B
  • C
  • D

Q3:

The height of a ski slope is 3 meters and the length is 5 meters. Find the measure of giving the answer to two decimal places.

  • A
  • B
  • C
  • D

Q4:

For the given figure, find the measure of angle , in degrees, to two decimal places.

Q5:

For the given figure, find angle , in degrees, to two decimal places.

Q6:

In the given figure, find the measure of angle , in degrees, to two decimal places.

Q7:

For the given figure, find the measure of , in degrees, to two decimal places.

Q8:

For the given figure, find the measure of , in degrees, to two decimal places.

Q9:

For the given figure, find the measures of and , in degrees, to two decimal places.

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q10:

Find the measure of angle , in degrees, to two decimal places.

Q11:

For the given figure, find the measures of and , in degrees, to two decimal places.

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q12:

is a right-angled triangle at where and . Find the length , giving the answer to the nearest centimetre, and the measure of angles and , giving the answer to the nearest degree.

  • A , ,
  • B , ,
  • C , ,
  • D , ,

Q13:

is a right-angled triangle at where and . Find the length , giving the answer to the nearest centimetre, and the measure of angles and , giving the answer to the nearest degree.

  • A , ,
  • B , ,
  • C , ,
  • D , ,

Q14:

Given the following figure, find the lengths of and and the measure of in degrees. Give your answers to two decimal places.

  • A , ,
  • B , ,
  • C , ,
  • D , ,
  • E , ,

Q15:

Given the following figure, find the lengths of and and the measure of in degrees. Give your answers to two decimal places.

  • A , ,
  • B , ,
  • C , ,
  • D , ,
  • E , ,