Lesson Worksheet: Trigonometric Ratios of Special Triangles Mathematics • 11th Grade
In this worksheet, we will practice how to find the side lengths of 45-45-90 and 30-60-90 triangles using trigonometric ratios.
Q4:
Find the ratio of the length of to the length of in its simplest form.
- A
- B
- C
- D
- E
Q5:
A flying kite is attached to a 90 m long string. Find the height of the kite if the angle between the string and the ground is .
- A m
- B45 m
- C m
- D180 m
- E m
Q6:
Find, in terms of , the length of the hypotenuse of the given triangle.
- A
- B
- C
- D
- E
Q7:
Given that , find . Give an exact answer.
- A cm
- B cm
- C cm
- D1 cm
- E4 cm
Q8:
Consider the rectangle in the following figure. If and the measure of , find the length of diagonal .
- A3 cm
- B cm
- C12 cm
- D cm
- E cm
Q9:
Given that , find the area of triangle .
- A cm2
- B cm2
- C cm2
- D cm2
- E1 cm2
Q10:
In the figure, the length of is .
Find the length of .
- A4
- B8
- C16
- D2
- E
Given that the length of is 6, find the length of . Give an exact answer.
- A
- B
- C
- D2
- E4