Geometry and TrigonometryMediumHorizontal distance from a slope length and angle
Geometry and Trigonometry practice question
A slide is 16 metres long and makes a 60° angle with the ground. How many metres of ground does the slide cover horizontally?
Answer: 8
The horizontal run is adjacent to the 60° angle: 16 cos 60° = 16 × 1/2 = 8.
Common wrong answers
- If you answered 32
- 32 divides 16 by cos 60° instead of multiplying.
- If you answered 13.9
- 13.9 is 16 sin 60°, the HEIGHT of the slide's top.
- If you answered 27.7
- 27.7 is 16 tan 60°, which would need 16 to be the run.
More Geometry and Trigonometry questions
- Medium
In a 45°-45°-90° right triangle, each leg has length 5. What is the length of the hypotenuse? - Medium
A cylinder has a radius of 3 and a height of 10. What is its volume? (Use V = πr²h.) - Medium
In a right triangle, the side opposite angle θ has length 3 and the hypotenuse has length 5. What is sin θ? - Medium
Two triangles are similar with a ratio of 2 to 3. A side of the smaller triangle measures 8. What is the lengt… - Medium
What is the distance between the points (1, 2) and (4, 6) in the coordinate plane? - Medium
A circle has a radius of 6. What is the area of a sector with a central angle of 60°?
Not affiliated with the College Board. SAT is a trademark of the College Board.