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 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? 182.9 m 390.1 m 234.0 m 369.7 m 2. The vertex of the right angle in a right triangle points in the direction to the _______________ Hypotenuse Shortest side Leg b Leg a 3. 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? 13 cm 22 cm 25 cm 16 cm 4. 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? 6 ft 10 ft 3 ft 4 ft 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? 40 cm 28 cm 35 cm 17 cm 6. A squared plus b squared equals c squared is known as the __________ Theorem of Nef Pythagorean Theorem Platos Theorem Saltos and Pepros Theorem 7. If a= 28 yards and c= 197 yards, then what is the measure of b? 169 yards 225 yards 195 yards 199 yards 8. The diagonal of a rectangle is 25 cm long.The width of the rectangle is 7 cm.How long is the rectangle? 18 cm 7 cm 26 cm 24 cm 9. 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 1 foot About 19 feet About 13.5 feet 10. 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 ft 112.7 ft 178 ft 95 ft 11. A 9m post is positioned so that it meets the ground at right angles. A wire is strung from the top of the post to a peg on the ground 7m from the base of the post. How long, to the nearest cm, must the wire be? 5.65m 11.40m 11.401m 5.657m 12. 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? 32 m 95 m 78.4 m 53.3 m 13. Wyoming's rectangular shape is about 275 miles by 365 miles. Find the length of the diagonal of the state of Wyoming. About 457 miles About 640 miles About 240 miles About 90 miles 14. What is the measure of the diagonal of the square? 18.9 mm 84.9 mm 60.0 mm 75.0 mm 15. The length of FD is: √ 33 √ 65 65 33 16. The two short sides of a right angled triangle are 12 cm and 16 cm. How long is the hypotenuse? 50 cm 200 cm 20 cm 10 cm 17. 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 cm 18 cm 14 cm 12 cm 18. 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 fit in the box if it does not have to be laid flat? 27 cm 22 cm 16 cm 17 cm 19. Which of the following is not a Pythagorean Triple? 10, 24, 26 9, 35, 36 6, 8, 10 7, 24, 25 20. PYTHAGOREAN THEOREM states that for any right angled triangle: a² + b² = c^{2} Where c is the longest side of the triangle called the __________. Hypotenuse Hypertenuse Hyperactive Hypochondriac 1 out of 20 Time is Up! Time's up