Geometry and TrigonometryMediumVertical drop from slope length and angle
Geometry and Trigonometry practice question
A straight ramp is 18 metres long and makes a 30° angle with the horizontal ground. What is the vertical height of the top of the ramp above the ground?
- A. 9 mCorrect
- B. 15.6 m
- C. 36 m
- D. 10.4 m
Answer: A. 9 m
The height is opposite the 30° angle with the ramp as hypotenuse: 18 sin 30° = 9.
Why the other answers are wrong
- B. 15.6 m
- 15.6 is 18 cos 30°, the horizontal distance.
- C. 36 m
- 36 divides 18 by sin 30° instead of multiplying.
- D. 10.4 m
- 10.4 is 18 tan 30°, which would need 18 to be the horizontal distance.
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.