Trigonometry for Physics Practice 2
10 problems · instant feedback · full explanations
SOHCAHTOA resolves every vector: adjacent = hyp·cosθ, opposite = hyp·sinθ. Draw the right triangle first — the diagram picks the ratio.
Q1.
A right triangle has opposite = 3, hypotenuse = 5. What is sinθ?
Multiple choice · Easy
Q2.
A 10 N force acts at 30° above the x-axis. What is its x-component? (N)
Numerical answer (N) · Medium
Q3.
What is the y-component of that 10 N force at 30°? (N)
Numerical answer (N) · Medium
Q4.
A vector has x-component 4 and y-component 3. What angle does it make with the x-axis?
Multiple choice · Easy
Q5.
A 5 m ramp rises at 30°. What are its vertical height and horizontal run?
Multiple choice · Medium
Q6.
You walk 3 km east then 4 km north. At what angle north of east is your displacement? (degrees)
Numerical answer (°) · Hard
Q7.
For any vector, Fx² + Fy² = F².
True / False · Easy
Q8.
Angles in calculus-based physics formulas are always measured in degrees.
True / False · Medium
Q9.
A 20 N force at 60° to the horizontal pulls a sled 3 m. How much work is done?
Multiple choice · Hard
Q10.
Using the small-angle approximation, sin(0.1 rad) ≈ ?
Multiple choice · Hard