eurekami

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
A ramp rises at 31° over a horizontal distance of 13 m. How high does it rise? Give 1 decimal place.
Answer
2
Question 2
In a right triangle, angle θ has opposite side 3, adjacent side 4 and hypotenuse 5. What is tan θ?
- A. 3/4
- B. 4/3
- C. 4/5
- D. 5/3
Question 3
A right triangle has hypotenuse 7 cm and an angle of 74°. Find the side opposite the 74° angle, to 1 decimal place.
Answer
Question 4
A ramp rises at 51° over a horizontal distance of 7 m. How high does it rise? Give 1 decimal place.
Answer
5
Question 5
In a right triangle, angle θ has opposite side 7, adjacent side 24 and hypotenuse 25. What is tan θ?
- A. 24/7
- B. 7/24
- C. 7/25
- D. 25/7
Question 6
A right triangle has hypotenuse 29 cm and an angle of 70°. Find the side opposite the 70° angle, to 1 decimal place.
Answer
Question 7
A ramp rises at 45° over a horizontal distance of 12 m. How high does it rise? Give 1 decimal place.
Answer
8
Question 8
In a right triangle, angle θ has opposite side 8, adjacent side 15 and hypotenuse 17. What is cos θ?
- A. 15/17
- B. 8/17
- C. 8/15
- D. 15/8
Question 9
A right triangle has hypotenuse 8 cm and an angle of 22°. Find the side adjacent to the 22° angle, to 1 decimal place.
Answer
Question 10
A ramp rises at 57° over a horizontal distance of 11 m. How high does it rise? Give 1 decimal place.
Answer
11
Question 11
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. 4/3
Question 12
A right triangle has hypotenuse 9 cm and an angle of 48°. Find the side adjacent to the 48° angle, to 1 decimal place.
Answer
Question 13
A ramp rises at 22° over a horizontal distance of 16 m. How high does it rise? Give 1 decimal place.
Answer
14
Question 14
In a right triangle, angle θ has opposite side 5, adjacent side 12 and hypotenuse 13. What is tan θ?
- A. 13/5
- B. 5/13
- C. 5/12
- D. 12/13
Question 15
A right triangle has hypotenuse 24 cm and an angle of 55°. Find the side adjacent to the 55° angle, to 1 decimal place.
Answer
Question 16
A ramp rises at 36° over a horizontal distance of 23 m. How high does it rise? Give 1 decimal place.
Answer

Write your answers right on the page. · Free from eurekami.com