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Using the Pythagorean Theorem
Draw a picture to represent each problem and show work. Round to the nearest tenth if needed.
A ramp to the entrance of the new school building must be constructed to follow the Americans with Disabilities Act. If the ramp is 24 feet long and the top of the ramp is 2 feet off the ground, how far is the end of the ramp from the entrance?
Conner loves to watch movies on TV in his room. He wants to buy a TV with a screen size that is least 40 inches by 20 inches. What diagonal size television meets Connors requirements?
The course for a local triathlon has the shape of a right triangle. A leg of the course is a 5 mile run and the longest part of the course is the 12 mile bike. How long is the entire triathlon course?
Front Street and Jackson Street make a perpendicular intersection. The city wants to build a new street that will intersect 9 miles south of the intersection and 14 miles west.
How long will the new road be that intersects Front St and Jackson St?
The new road will cost $10000 per mile to pave. What will be the cost of the new road?
The cell phone company is anchoring three diagonal support wires to the top of their 1200 ft high communication towers. The cable for the support wire comes in a roll that 3900 ft long. The company requires you to use the entire roll. The cable can only be cut twice to ensure its strength. All cables need to be equal length. How long will each cable be? How far from the base of the tower do they need to be anchored?
In the city planning meeting, a scale drawing of a park was drawn. The park fills an entire square city block. The scale is 3 inches equals 3/10 of a mile. One side of the city block is 4 inches long. One member of the city planners said, There needs to be a short cut through the park from the corners. How long in miles will the short cut be?
You are planning to put a new digital flat TV on a wall that measures 12 ft long and 9 ft. high. The digital TV has a diagonal of 6 ft. The width of the TV is 1/3 of the wall height. How much wall space does the TV take up?
Mary starts from her home and drives 22 miles due north and then due east for 11 miles to get to the mall. On her way home she finds a new road that takes her straight from the mall to her house. How many miles less did Mary drive on the new road than when she drove north and then east to get to the mall?
John is constructing a door that is 80 inches tall. The diagonal measurement of the door is 88 inches. John wants to paint the front of the door black. How much space will he be covering when he paints the door?
Write your own real-life word problem that uses the Pythagorean Theorem. Be sure to include a picture, the work, and the answer. Be creative! This will be your POD tomorrow(
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