A Triangle, Right?
Identify whether or not one can use Pythagorean Theorem in the following situation. Pick two Situations, draw diagrams and solve to find the missing length
Level 1
A. The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the sliding board?
B. A tree broke 6 feet from the bottom. If the top landed 12 feet from the base, how tall was the tree before it broke?
C. TV screens are measured according to the diagonal distance from on corner to another. If you have a 17” screen and it is 15” across the bottom, how tall is your TV screen?
D. Spots is a hyper dog who likes to run. He has a rectangular pen in the backyard to run in, and the longest distance he has to run in 15m. If the length of the rectangular pen is 12m, how wide is the pen?
E. Tom is afraid of heights above 9 feet. He is asked to repair a side of a high deck. The bottom of a ladder must be placed 6 feet from a deck. The ladder is 10 feet long. How far above the ground does the ladder touch the deck? Is Tom afraid of the height?
Level 2
F. Lexi likes to skate at a game store that is due south of her school and due west of her favorite candy store. If the game store is 21 blocks from her school and the straight-line distance between the school and the candy store is 29 blocks, how far is the game store from the candy store?
G. There is a straight 25 ft ramp from the parking lot to help people get in to the second story gymnasium the is 7ft above the ground level entrance. How far away is the parking lot from the ground level entrance?
H. Tommy the Turtle wanders off in the zoo. Mr. Gorilla saw him walk to the “T” intersection on Clancy Road and make a right. Tommy’s pen is 1.2 miles from the “T” intersection, at the bottom. Gilbert Giraffe saw Tommy sitting outside the giraffe area. The giraffe area is 1.6 miles from the “T” intersection off to the right. Exactly how far is Tommy the Turtle from his pen?
Level 3
I. During a football play, DeSean Jackson runs a straight route 40 yards up the sideline before turning around and catching a pass thrown by Michael Vick. On the opposing team, a defender who started 20 yards across the field from Jackson saw the play setup and ran a slant towards Jackson. What was the distance the defender had to run to get to the spot where Jackson caught the ball?
J. You are using wire to secure a pole in the ground for Christmas lights. The pole is 10ft tall, and the wire on each side is the same as 10√2 ft long, how far away are you fastening the wire from the bottom of the pole?
K. You know the perimeter of the football field is 306 yards and that a football field is 100 yards long. Coach is going to make you bear crawl diagonally across the field every time you are late to practice. How many yards will you have to crawl if you’re late?
Level 4
L. In the Old West, settlers made tents out of a piece of cloth thrown over a clothesline and then secured to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the tent was 10 feet high and the opening, which is half as wide as the bottom of the tent is 12 ft wide?
M. In construction, floor space must be planned for staircases. If the vertical distance between the first and second floors is 3.6 meters, and a contractor is using the standard step pattern of 28 cm wide for 18 cm high, then how many steps are needed to get from the first to the second floor and how much linear distance (ie “width” or “base”) will be needed for the staircase? What is the length of the railing that would be attached to these stairs? (hint, 18 cm= 0.18 m)
A Triangle, Right? Name______Per______
Write your problem here;
Draw a picture of the situation Show your work to solve
Write your problem here;
Draw a picture of the situation Show your work to solve