# Lesson 3Pied!Solidify Understanding

The U.S. Department of Justice’s 2010 Americans with Disabilities Act (ADA) Standards of Accessible Design require that the number of van-accessible parking spaces compared to the number of designated accessible parking spaces be one out of every six.

### 1.

If a mall has parking spaces designated as accessible, how many spaces must be identified as van accessible?

### 2.

The parking lot at the Magic Kingdom in California has spaces designated as accessible. How many must be marked as van accessible?

### 3.

Most Costco parking lots average designated van-accessible spaces. Based on the ADA ratio, how many parking spaces in the lot are designated as simply accessible?

### 4.

A Walmart nearby has designated van-accessible spaces. Based on the ADA ratio, how many parking spaces in the lot are designated as simply accessible?

We can make ratios between many different quantities. Trigonometric ratios of sine, cosine, and tangent are ratios between side-lengths in a right triangle. Write the indicated ratios for the right triangles shown.

### 5.

 $\mathrm{sin}A=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{sin}B=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{cos}A=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{cos}B=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{tan}A=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{tan}B=\phantom{\rule{0.167em}{0ex}}$

### 6.

 $\mathrm{sin}A=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{sin}B=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{cos}A=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{cos}B=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{tan}A=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{tan}B=\phantom{\rule{0.167em}{0ex}}$

### 7.

 $\mathrm{sin}A=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{sin}B=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{cos}A=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{cos}B=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{tan}A=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{tan}B=\phantom{\rule{0.167em}{0ex}}$

### 8.

 $\mathrm{sin}A=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{sin}B=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{cos}A=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{cos}B=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{tan}A=\phantom{\rule{0.167em}{0ex}}$ $\mathrm{tan}B=\phantom{\rule{0.167em}{0ex}}$

## Set

Use the given information to determine each length or area.

### 9.

The area of circle is . Find the area of one sector.

### 10.

The circumference of circle is feet. Find the area of one sector.

### 11.

The area of the small sector of the circle is . What is the radius of the circle? Show how you set up your problem.

### 12.

The length of measures . What is the area of the circle? Show how you set up your problem.

### 13.

The length of measures . What is the area of the circle? Show how you set up your problem.

### 14.

The area of the small sector of circle is . What is the circumference of the circle? Show how you set up your problem.

### 15.

Each time you set up your problem in 11–14, what factor was multiplied by the area or circumference of the circle?

### 16.

Explain why this factor was needed in each problem.

## Go

Find the measure of angle in each right triangle.