7-1: Special Right 7-1: Special Right Triangles and Triangles and

Trigonometric RatiosTrigonometric Ratios

7-1: Special Right 7-1: Special Right Triangles and Triangles and

Trigonometric RatiosTrigonometric RatiosUnit 7Unit 7

English CasbarroEnglish Casbarro

Turn in the following problems.

1. In the parking lot shown, the lines that mark the width of the spaces are parallel. Find x and y.

2. A piece of property lies between 2 parallel streets as shown in the picture. What is the relationship between the angles? What are their measures?

Recall: The Pythagorean Theorem. This allows you to find legs and the hypotenuse of a right triangle. There are 2 types of triangles that allow you to use shortcuts to find out the lengths of their sides. These are the 45°-45°-90° and 30°-60°-90°

Problem 3- Solve the triangles for the unknown sides.

a.

b.

Trigonometric RatiosTrigonometric Ratios Most of the time the angles are not the Most of the time the angles are not the

special triangles we have seen. There special triangles we have seen. There are other ways to find the lengths of the are other ways to find the lengths of the sides of the triangles.sides of the triangles.

Trig Ratios are always listed Trig Ratios are always listed sin cos tan in that order!sin cos tan in that order!

SinSin

CosCos

TanTan

You can also remember the word:

SOH-CAH-TOA

This is the basic problem that just tests your knowledge of writing the ratios. You must know which is the opposite side, which is the adjacent side (theseSwitch depending on the angle that you are talking about), and the hypotenuse.

Check your knowledge