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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
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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.
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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
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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
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Grade A/A*
12 cm