19/03/2020 Pythagoras and Trigonometry(Study by Topics Junior Class) 19/03/2020 33Comments by Gate Academy Welcome to your Pythagoras and Trigonometry(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. The diagonal of a rectangle is 25 cm long.The width of the rectangle is 7 cm.How long is the rectangle? 24 cm 7 cm 26 cm 18 cm None 2. A hiker walked 22 miles north and then walked 17 miles west. How far is the hiker from the starting point? 27.8 miles 39 miles 112.6 miles 374 miles None 3. 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 m 95 m 78.4 m 32 m None 4. 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? 6, 8, 10 5, 12, 13 7, 24, 25 65, 72, 96 None 5. If one leg of a right triangle is 8 feet and its hypotenuse is 14 feet, how long is the other leg? About 22 feet About 11.5 feet About 6 feet About 16 feet None 6. The front of a hiking tent is shaped alike a triangle. The slanted sides are both 5 feet long and the bottom of the tent is 6 feet across. What is the height of the tent in feet at the tallest point? 3 ft 6 ft 4 ft 10 ft None 7. The two short sides of a right angled triangle are 12 cm and 16 cm. How long is the hypotenuse? 200 cm 10 cm 50 cm 20 cm None 8. Use the Pythagorean relationship to see if the triangle with these sides is a right angled triangle. Both are right angled A is not a right angled triangle, but b is A is right angled triangle, b is not Neither are right angled triangles None 9. For safety reasons, the base of a 24-foot ladders should be at least 8 feet from the wall. How high can a 24-foot ladder safely reach? About 16 feet About 25.3 feet About 22.6 feet About 512 feet None 10. Sally travels to work each day. She travels 12 km East from home to Main Road. Sally then travels 9 km North on the Main Road to work. If the council was to put a direct road from Sally’s house to work, how much shorter would her journey be? 7.94 km 6 km 11.06 km 15 km None 11. A 4m ladder is placed 1m from the base of a building. How far up the building does the ladder reach? 3.87m 15m 4.12m 3m None 12. If b=42 miles and c=58 miles, then what is the measure of a? 72 miles 100 miles 16 miles 40 miles None 13. Which of the following is not a Pythagorean Triple? 7, 24, 25 10, 24, 26 6, 8, 10 9, 35, 36 None 14. The vertex of the right angle in a right triangle points in the direction to the _______________ Leg a Leg b Shortest side Hypotenuse None 15. 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? 390.1 m 234.0 m 369.7 m 182.9 m None 16. The leg opposite the right angle is called.. leg A the right leg the hypotenuse the isosceles leg None 17. A squared plus b squared equals c squared is known as the __________ Pythagorean Theorem Theorem of Nef Platos Theorem Saltos and Pepros Theorem None 18. A 10-foot ramp is extended from the back of a truck to the ground to help movers load furniture onto the truck, If the ramp touches the ground at a point 9 feet behind the truck, how high off the gound is the top of the ramp? About 13.5 feet About 4.4 feet About 1 foot About 19 feet None 19. 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. No, because 15+8 does not equal 17. No, because there is not enough information to solve this problem. Yes, because 8x15x17 is equal to 2040. None 20. Wyoming's rectangular shape is about 275 miles by 365 miles. Find the length of the diagonal of the state of Wyoming. About 640 miles About 90 miles About 457 miles About 240 miles None 1 out of 20 Time's upTime is Up!
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