Trigonometric ratios
10th grade (Year 11 in England) · 16 questions · Common Core: HSG.SRT.C.6, HSG.SRT.C.8 · England: GCSE Foundation Geometry, GCSE Higher Geometry
Name
Date
Score/ 16
Question 1
In a right triangle, angle θ has opposite side 7, adjacent side 24 and hypotenuse 25. What is tan θ?
- A. 25/7
- B. 7/24
- C. 7/25
- D. 24/25
Question 2
A right triangle has hypotenuse 27 cm and an angle of 72°. Find the side opposite the 72° angle, to 1 decimal place.
Answer
Question 3
A ramp rises at 68° over a horizontal distance of 13 m. How high does it rise? Give 1 decimal place.
Answer
Question 4
In a right triangle, angle θ has opposite side 3, adjacent side 4 and hypotenuse 5. What is cos θ?
- A. 3/5
- B. 4/5
- C. 3/4
- D. 5/3
Question 5
A right triangle has hypotenuse 12 cm and an angle of 37°. Find the side opposite the 37° angle, to 1 decimal place.
Answer
Question 6
A ramp rises at 21° over a horizontal distance of 18 m. How high does it rise? Give 1 decimal place.
Answer
Question 7
In a right triangle, angle θ has opposite side 3, adjacent side 4 and hypotenuse 5. What is cos θ?
- A. 3/5
- B. 4/3
- C. 3/4
- D. 4/5
Question 8
A right triangle has hypotenuse 11 cm and an angle of 39°. Find the side adjacent to the 39° angle, to 1 decimal place.
Answer
Question 9
A ramp rises at 22° over a horizontal distance of 3 m. How high does it rise? Give 1 decimal place.
Answer
Question 10
In a right triangle, angle θ has opposite side 3, adjacent side 4 and hypotenuse 5. What is sin θ?
- A. 3/4
- B. 4/5
- C. 3/5
- D. 5/3
Question 11
A right triangle has hypotenuse 23 cm and an angle of 68°. Find the side opposite the 68° angle, to 1 decimal place.
Answer
Question 12
A ramp rises at 24° over a horizontal distance of 9 m. How high does it rise? Give 1 decimal place.
Answer
Question 13
In a right triangle, angle θ has opposite side 5, adjacent side 12 and hypotenuse 13. What is tan θ?
- A. 5/12
- B. 12/13
- C. 5/13
- D. 12/5
Question 14
A right triangle has hypotenuse 15 cm and an angle of 53°. Find the side opposite the 53° angle, to 1 decimal place.
Answer
Question 15
A ramp rises at 54° over a horizontal distance of 17 m. How high does it rise? Give 1 decimal place.
Answer
Question 16
In a right triangle, angle θ has opposite side 3, adjacent side 4 and hypotenuse 5. What is cos θ?
- A. 4/5
- B. 5/3
- C. 3/5
- D. 4/3
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