Right Triangle Trigonometry Test – Geometry Math (Printable PDF)

Question 1 Three Ratios (3 points)

1. Write sin A as a fraction. (1 point)
2. Write cos A as a fraction. (1 point)
3. Write tan B as a fraction. (1 point)

Question 2 Complementary Equation (2 points)

Angles A and B are acute angles of a right triangle with sin(2x + 4)° = cos(3x − 4)°. Find x.

Question 3 Find a Side (2 points)

Find x to the nearest tenth.

Question 4 Find an Angle (2 points)

A 25-foot plank stretches from the ground up to a stage, and its lower end is 17 feet out from the stage wall. Calculate the angle between the plank and the ground, rounded to tenths.

Question 5 Special Right Triangle (2 points)

The hypotenuse of a 30-60-90 triangle is 26 inches. Find both legs. Give exact answers.

Question 6 Solve the Triangle (3 points)

Solve right triangle ABC with the right angle at C, angle A = 41° and AC = 18. Find angle B, BC and AB to the nearest tenth.

Question 7 Height of a Building (3 points)

Find the height of the building to the nearest foot.

Question 8 Two Buoys (3 points)

A drone 150 feet above a river is directly over the shore. It spots two buoys in a straight line from the shore, with angles of depression 36° and 21°. Find the distance between the buoys to the nearest foot.