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. 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 35 cm 17 cm 28 cm 2. 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? 16 cm 13 cm 22 cm 25 cm 3. What is the measure of the diagonal of the square? 60.0 mm 75.0 mm 18.9 mm 84.9 mm 4. Using the Pythagorean Theorem, figure out the missing values for x and h: H is 3 and x is 3.6 H is 6 and x is 4.2 H is 3 and x is 2.23 H is 6.4 and x is 6.1 5. What is the measure of the missing length? 35 km 38 km 37 km 28 km 6. The length of FD is: 33 √ 33 65 √ 65 7. 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 8 in 17 in 15 in 8. 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 369.7 m 234.0 m 182.9 m 9. When a squared plus b squared equals c squared, this results in what kind of triangle? Acute Equilateral Obtuse Right 10. 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? 17 cm 27 cm 22 cm 16 cm 11. The two short sides of a right angled triangle are 12 cm and 16 cm. How long is the hypotenuse? 10 cm 50 cm 200 cm 20 cm 12. The leg opposite the right angle is called.. the right leg leg A the isosceles leg the hypotenuse 13. 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 95 ft 178 ft 14. In the triangle above FG = 3 cm and FD = 5 cm. How long is side DG? 7 cm 34 cm 1 cm 4 cm 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 sines Law of tangents Law of cosines 16. 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 512 feet About 25.3 feet About 16 feet About 22.6 feet 17. 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 10 ft 4 ft 6 ft 18. To find the length of a lake, a surveyor places flags at A and B, so that A and B are at opposite ends of a lake. She then walks to a point C such that angle ABC is 90°. She measures the distance from A to C and finds it to be 112m, and the distance from B to C to be 91m. Find the length of the lake correct to the nearest metre. 144 m 21 m 203 m 65 m 19. If one leg of a right triangle is 8 feet and its hypotenuse is 14 feet, how long is the other leg? About 11.5 feet About 16 feet About 22 feet About 6 feet 20. If b=42 miles and c=58 miles, then what is the measure of a? 72 miles 40 miles 16 miles 100 miles 1 out of 20 Time is Up! Time's up
