The Pythagorean Theorem has many different using in mathematics.

Part A: Using the correct formula, calculate the following: A man has a 90 foot ladder and leans the end of it against an exterior window of a house. The base of the ladder is 45 feet from the house. Calculate to the nearest foot how high it is from window to the ground?

Part B: Create your own data for the height of the window from the ground and distance of the base of ladder to the house. Calculate the length of the ladder.

3. A cell phone company has offered you two different rates. The first rate is $35 per month and 5 cents per phone call (time does not matter). The second offer is $55 per month and 2 cents per call.

Part A: Set up and solve the inequality to model this problem and find where it is less expensive to go with the second plan.

The cell phone company also has two texting plans. The first is unlimited texts for $12. The second plan is 8 cents per text.

Part B: Set up and solve an inequality to show when it less expensive to go with the second texting plan.

4. The number of miles remaining for a jet traveling from San Francisco to New York can be approximated with the linear equation Miles remaining = 2650 – 475t where t is the number of hours since leaving San Francisco.

Part A: In how many hours will the jet be 1,000 miles from New York?

Part B: How long will the whole trip take?

5.  A runner’s heart rate in beats per minute is given by the formula Heart rate = 65 + 53 / (4t + 1) where t is the number of minutes after the start of a cool-down period.

Part A: Find the runner’s heart rate in 10 minutes.

Part B: When is the runner’s heart rate equal to 68 beats per minute?