Choose sine, cosine or tangent for a problem
10th grade (Year 11 in England) · 16 questions · Common Core: HSG.SRT.C.8 · England: GCSE Foundation Geometry, GCSE Higher Geometry
Name
Date
Score/ 16
Question 1
A 6 m ladder leans against a wall at 63° to the ground. To find how high up the wall it reaches, which ratio do you use with the 63° angle?
- A. sin
- B. cos
- C. tan
Question 2
In a right triangle you know angle θ and the adjacent side. You want the opposite side. Which ratio should you use?
- A. sin
- B. cos
- C. tan
Question 3
A 18 m ladder leans against a wall at 46° to the ground. To find how high up the wall it reaches, which ratio do you use with the 46° angle?
- A. sin
- B. cos
- C. tan
Question 4
In a right triangle you know angle θ and the opposite side. You want the adjacent side. Which ratio should you use?
- A. sin
- B. cos
- C. tan
Question 5
A 6 m ladder leans against a wall at 66° to the ground. To find how high up the wall it reaches, which ratio do you use with the 66° angle?
- A. sin
- B. cos
- C. tan
Question 6
In a right triangle you know angle θ and the adjacent side. You want the hypotenuse. Which ratio should you use?
- A. sin
- B. cos
- C. tan
Question 7
A 16 m ladder leans against a wall at 46° to the ground. To find how high up the wall it reaches, which ratio do you use with the 46° angle?
- A. sin
- B. cos
- C. tan
Question 8
In a right triangle you know angle θ and the opposite side. You want the adjacent side. Which ratio should you use?
- A. sin
- B. cos
- C. tan
Question 9
A 15 m ladder leans against a wall at 20° to the ground. To find how high up the wall it reaches, which ratio do you use with the 20° angle?
- A. sin
- B. cos
- C. tan
Question 10
In a right triangle you know angle θ and the adjacent side. You want the hypotenuse. Which ratio should you use?
- A. sin
- B. cos
- C. tan
Question 11
A 18 m ladder leans against a wall at 22° to the ground. To find how high up the wall it reaches, which ratio do you use with the 22° angle?
- A. sin
- B. cos
- C. tan
Question 12
In a right triangle you know angle θ and the adjacent side. You want the hypotenuse. Which ratio should you use?
- A. sin
- B. cos
- C. tan
Question 13
A 19 m ladder leans against a wall at 20° to the ground. To find how high up the wall it reaches, which ratio do you use with the 20° angle?
- A. sin
- B. cos
- C. tan
Question 14
In a right triangle you know angle θ and the hypotenuse. You want the adjacent side. Which ratio should you use?
- A. sin
- B. cos
- C. tan
Question 15
A 15 m ladder leans against a wall at 31° to the ground. To find how high up the wall it reaches, which ratio do you use with the 31° angle?
- A. sin
- B. cos
- C. tan
Question 16
In a right triangle you know angle θ and the adjacent side. You want the opposite side. Which ratio should you use?
- A. sin
- B. cos
- C. tan
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