19/03/2020 Pythagoras and Trigonometry(Study by Topics Junior Class) 19/03/2020 0Comments by Gate Academy Welcome to your Pythagoras and Trigonometry(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. A hiker walked 22 miles north and then walked 17 miles west. How far is the hiker from the starting point? 112.6 miles 374 miles 27.8 miles 39 miles 2. The longest side of a right triangle that is located on the side opposite of the right angle is known as ______________? The leader Hypotenuse Leg b Leg a 3. 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. 4. The vertex of the right angle in a right triangle points in the direction to the _______________ Leg b Shortest side Hypotenuse Leg a 5. Breanna has a laptop computer that has a 37 centimeter diagonal screen. The width of the laptop is 12 centimeters. What is the length of the laptop? 28 cm 35 cm 17 cm 40 cm 6. 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. 18 cm 14 cm 16 cm 12 cm 7. A right triangle must have.... 90 degree 45 degree 15 degree 20 degree 8. Ms. Coney made the triangle that you see here on the board. She said that they hypotenuse is 13 inches and one of the legs is 5 inches. What is the length of the other leg? 12 in 15 in 17 in 8 in 9. A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase? 15 inches 30 inches 22 inches 20 inches 10. 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 4.4 feet About 13.5 feet About 19 feet About 1 foot 11. The hypotenuse of a right triangle is 12 inches and one of its legs is 7 inches. Find the length of the other leg. About 9.7 inches About 19 inches About 14 inches About 5 inches 12. 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 25.3 feet About 512 feet About 16 feet About 22.6 feet 13. 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? 11.06 km 7.94 km 15 km 6 km 14. 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? 112.7 ft 127.28 ft 178 ft 95 ft 15. 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 cosines Law of sines Law of tangents 16. A squared plus b squared equals c squared is known as the __________ Theorem of Nef Pythagorean Theorem Saltos and Pepros Theorem Platos Theorem 17. The length of FD is: √ 33 33 √ 65 65 18. In the triangle above FG = 3 cm and FD = 5 cm. How long is side DG? 1 cm 34 cm 7 cm 4 cm 19. What is the measure of the missing length? 35 km 38 km 37 km 28 km 20. The leg opposite the right angle is called.. the right leg the hypotenuse leg A the isosceles leg 1 out of 20 Time is Up! Time's up