Welcome to your Pythagoras and Trigonometry(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. How far up a wall will an ladder reach that measures 11 meters, if the foot of the ladder must be 4 meters from the base of the wall?10.2 meters5.6 meters7 meters12 meters2. Pythagorean triples are three numbers that satisfy the Pythagorean relationship. For example 3,4,5 is a Pythagorean triple because 3² + 4² = 5². Which of the following is not a Pythagorean triples? 5, 12, 137, 24, 2565, 72, 966, 8, 103. A squared plus b squared equals c squared is known as the __________Saltos and Pepros TheoremPythagorean TheoremTheorem of NefPlatos Theorem4. A ship's guidance system measures that the ship is 380m from the top of a lighthouse. The top of the lighthouse is 88 m above sea level. How far is the ship from the lighthouse?369.7 m234.0 m390.1 m182.9 m5. A pole is to be placed in a box with dimensions 20cm × 15 cm × 10 cm.What is the length of the longest pole that could be laid flat in the box?22 cm25 cm13 cm16 cm6. Two joggers run 8 miles north and then 15 miles west. What is the shortest distance, they must travel to return to their starting point?17 miles9 miles21 miles7 miles7. Ms Lange drove about 150 km east from La sarre, to Senneterre, Quebec.She drove about another 75 km north to Lebel-sur-Quevillon. What is the approximate air distance from La Sarre to Lebel-sur-Quevillon, Quebec?175 km168 km225 km160 km8. A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between home plate and 2nd base?127.28 ft178 ft95 ft112.7 ft9. Wyoming's rectangular shape is about 275 miles by 365 miles. Find the length of the diagonal of the state of Wyoming.About 640 milesAbout 457 milesAbout 90 milesAbout 240 miles10. What is the measure of the diagonal of the square?84.9 mm60.0 mm18.9 mm75.0 mm11. If one leg of a right triangle is 8 feet and its hypotenuse is 14 feet, how long is the other leg? About 16 feetAbout 22 feetAbout 6 feetAbout 11.5 feet12. The longest side of a right angled triangle is 20 cm and one of the other sides is 16 cm. Find the length of the other side.16 cm14 cm18 cm12 cm13. In trigonometry, the Pythagorean theorem is considered a special case of a more general law. In other words, this mathematical law is a more general formula that can be used for all types of triangles. What is the name of this law?Law of tangentsLaw of cosinesLaw of sinesLaw of sines14. A 4m ladder is placed 1m from the base of a building. How far up the building does the ladder reach?15m3.87m4.12m3m15. PYTHAGOREAN THEOREM states that for any right angled triangle: a² + b² = c^{2} Where c is the longest side of the triangle called the __________. HyperactiveHypotenuseHypertenuseHypochondriac16. Shaylee wanted to know if a triangle whose legs are 15 feet and 8 feet and whose hypotenuse is 17 feet is a right triangle. She put into her calculator 17x17 =289. Then she put into her calculator 15x15 =225 and 8x8 =64, and added 225 and 64 together. Is the triangle a right triangle?Yes, because the square of the hypotenuse is equal to the sum of the squares of the legs of the triangle.Yes, because 8x15x17 is equal to 2040.No, because there is not enough information to solve this problem.No, because 15+8 does not equal 17.17. How much farther is it to jog around the perimeter of the field to get from X to Y rather than jogging a straight line across the field from X to Y? 126.5m46.9m33.5m113.1m18. The vertex of the right angle in a right triangle points in the direction to the _______________HypotenuseShortest sideLeg aLeg b19. To get from point A to point B Myranda must avoid walking through the pond. She walks 34 meters south and 41 meters east. How many meters is the shortest distance from point A to point B?53.3 m32 m95 m78.4 m20. If a= 28 yards and c= 197 yards, then what is the measure of b?199 yards169 yards225 yards195 yards21 out of 20Time is Up!