Unit 6 - Applying Trig To the Real World

A Ferris Wheel has a mid-height of 60ft and a radius of 19ft. What is the height of the Ferris Wheel?

• 38
• 79
• 60
• 19

The diameter of a circle has the same height from the bottom of the mid-height on any point on it!

• False
• Depends on the size of the circle
• Sometimes
• True

As Carlos waits nervously in line, he has been able to gather some information about the wheel. By asking the ride operator, he found out that this wheel has a radius of 25 feet, and its center is 30 feet above the ground. He wants to know how much distance the ride can cover in 1 second if the period length is 10 seconds and the distance covered is 360 degres

• 3600 degrees
• 3.6 degrees
• 0.36 degrees
• 36 degrees

If we wanted to know the height of a point on a circle, we could draw a right triangle above the diameter to find the height using Sin.

• Sin
• Cos
• Cot
• Tan

Any point on one side of a circle is the same as the other on the opposite in the y-axis.

• False
• Sometimes
• Only if the circle is a perfect circle
• True! Ye-Haw!

If the point is reflected across the x-axis, subtract if its under to the mid-height!

• Divide the y-coordinate
• Subtract the mid-height by the distance above

• Multiply the y-coordinate
• Add the y-coordinate

The passenger capsule at the very top is 135 meters above the ground. The diameter is 120 meters. How high is the center of the Ferris wheel? How far from the ground is the very bottom passenger capsle?

• 75 meters high

• 45 meters high

• 15 meters bottom

• 15 meters high

The period length has an impact on the degrees.

• Depends on the subject
• Not enough information
• False
• True

Why is Sine used in circles to find the height of an object no matter is position in time or degree?

• Sine is only applicable to objects positioned at 90 degrees in a circle.
• Sine represents the ratio of the adjacent side to the hypotenuse in a right triangle.
• Sine represents the ratio of the opposite side to the hypotenuse in a right triangle, which can be used to find the height of an object in a circle.
• Sine is used to find the width of an object in a circle.

Why do you subtract in Quadrant 2

• To find the sum of two negative numbers.
• To find the product of two negative numbers.
• To find the average of two negative numbers.
• To find the difference between two negative numbers and get a positive value.