Geometry Right Triangle Trigonometry Quiz: 10 Questions with Explanations

Geometry math quiz: Right Triangle Trigonometry – Maths PDF

Cover of the book Geometry Math Tests with Answer Keys (PDF)

Download as a PDFThe Geometry tests book with answer keysPrintable PDFSee the book ›

Sommaire

This right triangles quiz for Geometry covers right triangle trigonometry (Common Core G-SRT.C.6, G-SRT.C.7, G-SRT.C.8), with a free PDF to print.

Test your understanding of trigonometric ratios with this 10-question multiple-choice quiz. Each question has one correct answer, and the explanation after it names the typical mistake behind the wrong choices. Take it after the lesson or before the test.

Geometry · Common Core State Standards: G-SRT.C.6, G-SRT.C.7, G-SRT.C.8

Right triangles quiz: 10 questions

Question 1

Sides are named relative to angle A.

In the triangle, what is sin A?

Question 2

Which ratio is adjacent over hypotenuse?

Question 3

sin 20 degrees equals the cosine of which angle?

Question 4

Use a ratio that connects the known side and the unknown side.

The hypotenuse is 20 and angle A is 35 degrees. Which expression gives the side opposite A?

Question 5

A right triangle has legs 6 and 8. What is the tangent of the angle opposite the leg 6?

Question 6

To find an acute angle when you know the opposite side and the hypotenuse you use

Question 7

Angle of elevation: looking up from the horizontal.

From 50 feet away, the angle of elevation to the top of a tree is 32 degrees. About how tall is the tree?

Question 8

In a 30-60-90 triangle the hypotenuse is 10. What is the shorter leg?

Question 9

A ladder 10 feet long makes a 60 degree angle with the ground. How far is its base from the wall?

Question 10

The angle of depression from a tower to a car is 20 degrees. The angle of elevation from the car to the tower is

Remember

sin A = opposite/hypotenuse, cos A = adjacent/hypotenuse, tan A = opposite/adjacent.
sin A = cos (90 degrees minus A) for the acute angles of a right triangle.
Use an inverse function (sin^-1, cos^-1, tan^-1) to find an angle.
Solving a right triangle means finding all sides and acute angles.
Angles of elevation and depression are measured from the horizontal.

How to use this right triangles quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

Download the right triangles quiz as a PDF with the button below and keep it with your notes.

All Geometry chapters: Geometry math.

Voter.. post

Free printable PDF