Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a right triangle trigonometry quiz? Then this Geometry quiz on Solving Right Triangles with Sine, Cosine and Tangent asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions on naming the ratios, complementary angles, special triangles and choosing the right equation. Only one option is correct, and the explanation names the typical mistake.
Standards: G-SRT.C.6, G-SRT.C.7, G-SRT.C.8 · Level: Grade 10 Geometry
What this Solving Right Triangles with Sine, Cosine and Tangent quiz checks
- sin θ = opposite ÷ hypotenuse, cos θ = adjacent ÷ hypotenuse, tan θ = opposite ÷ adjacent.
- sin θ = cos(90° − θ) for any acute angle θ.
- A 45-45-90 triangle has sides in ratio 1 : 1 : √2; a 30-60-90 triangle has 1 : √3 : 2.
- Angles of elevation and depression are measured from the horizontal line.
The 10 questions of the quiz
- In a right triangle, which ratio equals tan θ?
- What is sin A?
- If sin 35° ≈ 0.574, what is cos 55°?
- A 45-45-90 triangle has legs of length 8. What is the hypotenuse?
- The short leg of a 30-60-90 triangle is 7. What is the hypotenuse?
- Which equation finds x?
- Which equation finds the angle if the opposite side is 6 and the hypotenuse is 11?
- A 30 ft ladder makes a 60° angle with the ground. About how high does it reach?
- The angle of elevation from a point to a hilltop is 20°. What is the angle of depression from the hilltop to the point?
- In a right triangle, sin A = 0.6 and cos A = 0.8. What is tan A?
After the quiz
Missed a question? Reread the Solving Right Triangles with Sine, Cosine and Tangent lesson, then take the quiz again. Next, solve the Geometry worksheet on Solving Right Triangles with Sine, Cosine and Tangent, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.