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Which grade are you…..? Trigonometry and Pythagoras (2) : Higher Grade C 1 Calculate x. Give your answer correct to 2 decimal places 2 Calculate x. Give your answer correct to 2 decimal places b Grade B a Grade A 3 Calculate the angle x www.mathsbox.org.uk 4 The diagram shows three straight walls surrounding a field. Grade A The angle BAC is 35°, and the roads AB and AC have lengths 520 m and 480 m. (a) Calculate the perimeter of the field. Give your answer to an appropriate degree of accuracy. (b) Calculate the area of the field. Grade A/A* 5 Calculate the size of the largest angle in quadrilateral ABCD. 6 Two ships, X and Y, leave port at 15 00 hours. Ship X travels at a constant speed of 20 km per hour on a bearing of 060°. Ship Y travels at a constant speed of 15 km per hour on a bearing of 145°. Calculate the distance between A and B at 17 00 hours. www.mathsbox.org.uk Grade A/A* 12 cm Which grade are you…..? ANSWERS Trigonometry and Pythagoras (2) : Higher Grade C 1 Calculate x. Give your answer correct to 2 decimal places 9.35 cm 2 Calculate x. Give your answer correct to 2 decimal places 48.39° 15.96 cm b 109° Grade A 3 Calculate the angle x Grade B a www.mathsbox.org.uk 4 The diagram shows three straight walls surrounding a field. Grade A The angle BAC is 35°, and the roads AB and AC have lengths 520 m and 480 m. (a) Calculate the perimeter of the field. 303 + 520 + 480 m = 1303 m Give your answer to an appropriate degree of accuracy. (b) Calculate the area of the field. 71582 m2 5 Calculate the size of the largest angle in quadrilateral ABCD. ABC = 360 - (90 + 56 + 66.9 + 33.7) = 113.4° Grade A/A* BD = √ CDB = 66.9° BDA = 33.7° 6 Two ships, X and Y, leave port at 15 00 hours. Ship X travels at a constant speed of 20 km per hour on a bearing of 060°. Ship Y travels at a constant speed of 15 km per hour on a bearing of 145°. Calculate the distance between A and B at 17 00 hours. 47.9 km ° 20 marks www.mathsbox.org.uk Grade A/A* 12 cm