Lesson 7 Finding Unknown Quantities on a Unit Circle

Lesson 7 Finding Unknown Quantities on a Unit Circle

Multiple Choice

The center of a clock is at (0,0) in a coordinate system, and the minute hand is 10 inches long. Find the approximate coordinates of the tip of the minute hand at:

12:05 p.m.

• (5,8.7)

• (8.7,5)

• (0.5,0.87)

• (0.87,0.5)

Multiple Choice

The center of a clock is at (0,0) in a coordinate system, and the minute hand is 10 inches long. Find the approximate coordinates of the tip of the minute hand at:

12:45 p.m.

• (-1,0)

• (0,-1)

• (-10,0)

• (0,-10)

Multiple Choice

The center of a clock is at (0,0) in a coordinate system, and the minute hand is 10 inches long. Find the approximate coordinates of the tip of the minute hand at:

12:55 p.m.

• (-5,8.7)

• (8.7,-5)

• (-0.5,0.87)

• (0.87,-5)

Fill in the Blanks

For point A, find how high the position on the Ferris wheel is off the ground. Write an expression using the sine or cosine function and estimate the value.

Type in the estimated value, round to the nearest foot.

Fill in the Blanks

For point B, find how high the position on the Ferris wheel is off the ground. Write an expression using the sine or cosine function and estimate the value.

Type in the estimated value, round to the nearest foot.

Fill in the Blanks

For point C, find how high the position on the Ferris wheel is off the ground. Write an expression using the sine or cosine function and estimate the value.

Type in the estimated value, round to the nearest foot.

Fill in the Blanks

A Ferris wheel has a radius of 50 feet, and its center is 60 feet off the ground. How many points on the Ferris wheel are:

30 feet off the ground?

Type the number only.

Fill in the Blanks

A Ferris wheel has a radius of 50 feet, and its center is 60 feet off the ground. How many points on the Ferris wheel are:

110 feet off the ground?

Type the number only.

Fill in the Blanks

A Ferris wheel has a radius of 50 feet, and its center is 60 feet off the ground. How many points on the Ferris wheel are:

5 feet off the ground?

Type the number only.

Fill in the Blanks

The minute hand on a clock tower is 6 feet long. At 10 minutes after the hour, the tip of the minute hand is 55 feet above the ground.

How high above the ground is the center of the clock face?

Type the number only. Round to the nearest foot.

Open Ended

Multiple Choice

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

Open Ended