19/03/2020Pythagoras and Trigonometry(Study by Topics Junior Class) 0Comments by Gate Academy Welcome to your Pythagoras and Trigonometry(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. If b=42 miles and c=58 miles, then what is the measure of a? 16 miles 100 miles 40 miles 72 miles2. 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 240 miles About 90 miles About 640 miles3. 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 feet4. 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? 22 cm 27 cm 16 cm 17 cm5. 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. 12 cm 18 cm 16 cm 14 cm6. 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? 10 ft 4 ft 3 ft 6 ft7. PYTHAGOREAN THEOREM states that for any right angled triangle: a² + b² = c^{2} Where c is the longest side of the triangle called the __________. Hyperactive Hypochondriac Hypotenuse Hypertenuse8. 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 16 cm 22 cm 25 cm9. 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 miles10. A squared plus b squared equals c squared is known as the __________ Pythagorean Theorem Saltos and Pepros Theorem Platos Theorem Theorem of Nef11. 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 1 foot About 4.4 feet About 19 feet12. 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 cosines Law of sines Law of tangents13. 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 cm14. What name is given to the longest side of a right-angled triangle? Diagonal Opposite Adjacent Hypotenuse15. A 4m ladder is placed 1m from the base of a building. How far up the building does the ladder reach? 4.12m 3.87m 3m 15m16. 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 cm17. When a squared plus b squared equals c squared, this results in what kind of triangle? Acute Obtuse Right Equilateral18. Using the Pythagorean Theorem, figure out the missing values for x and h: H is 6 and x is 4.2 H is 3 and x is 3.6 H is 3 and x is 2.23 H is 6.4 and x is 6.119. 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 178 ft 95 ft 127.28 ft20. 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? 7, 24, 25 5, 12, 13 65, 72, 96 6, 8, 1021 out of 20Time is Up!