19/03/2020 Pythagoras 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. 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? 8 in17 in15 in12 in2. 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 m234.0 m390.1 m369.7 m3. A 4m ladder is placed 1m from the base of a building. How far up the building does the ladder reach?15m3.87m3m4.12m4. When a right triangle contains a leg with a measure of 3, a leg with a measure of 4, and a hypotenuse with a measure of 5, this is referred to as a _____________Pythagorean TrifectaPythagorean TripleCounting PythagoraPythagorean Order5. What is the measure of the missing length?35 km28 km37 km38 km6. Using the Pythagorean Theorem, figure out the missing values for x and h:H is 6.4 and x is 6.1H is 3 and x is 3.6H is 6 and x is 4.2H is 3 and x is 2.237. 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.Yes, because 8x15x17 is equal to 2040.No, because there is not enough information to solve this problem.No, because 15+8 does not equal 17.8. 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?16 cm17 cm27 cm22 cm9. If b=42 miles and c=58 miles, then what is the measure of a?100 miles40 miles72 miles16 miles10. 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 cm25 cm13 cm22 cm11. 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 19 inchesAbout 9.7 inchesAbout 5 inchesAbout 14 inches12. 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 m95 m53.3 m78.4 m13. If a= 28 yards and c= 197 yards, then what is the measure of b?195 yards199 yards169 yards225 yards14. Use the Pythagorean relationship to see if the triangle with these sides is a right angled triangle.A is right angled triangle, b is notNeither are right angled trianglesBoth are right angledA is not a right angled triangle, but b is15. What is the length of DG?√ 3334.653316. 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 19 feetAbout 1 footAbout 13.5 feetAbout 4.4 feet17. A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase?22 inches20 inches15 inches30 inches18. 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 ft6 ft4 ft10 ft19. A hiker walked 22 miles north and then walked 17 miles west. How far is the hiker from the starting point?39 miles374 miles27.8 miles112.6 miles20. 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 sinesLaw of tangentsLaw of sinesLaw of cosines21 out of 20Time is Up!
