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Richard cuts across the rectangular grass lawn in the middle of the school grounds. The long side of the rectangle measures 75 m and in order to reach the opposite corner his route makes an angle of 37° with this side. How far does he walk in crossing the grass? 37 -15 m

Richard cuts across the rectangular grass lawn in the middle of the school grounds. The long side of the rectangle measures 75 m and in order to reach the opposite corner his route makes an angle of 37° with this side. How far does he walk in crossing the grass? 37 -15 m

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter62: Volumes Of Prisms And Cylinders
Section: Chapter Questions
Problem 38A: A copper casting is in the shape of a prism with an equilateral triangle base. The length of each...
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258 Exercise 5E 1 Richard cuts across the rectangular grass lawn in the middle of the school grounds. The long side of the rectangle measures 75 m and in order to reach the opposite corner his route makes an angle of 37° with this side. How far does he walk in crossing the grass? 2 D 0.3 m A feeding trough is to be made from a rectangular sheet of metal of width 1.6 m (i.e. AB + BC + CD = 1.6 m). The cross section is to be in the shape of a trapezium with a depth of 0.3 m and sides which make an angle of 54° with the horizontal. Find the width of the base of the trough, to the nearest cm. 54° base The distance between two straight river banks is 80 m. Jane tries to swim straight across the river but the current is strong and she is carried down river. Her course makes an angle of 58⁰ with the bank. How far does she actually swim? Find the perimeter of the rhombus. 6.2 m 48⁰ The tips of the blades of a pair of scissors are 8.6 cm apart and the angle between the blades is 38°. How long is each blade to the point where they meet? 6 A farm gate is 1.3 m high. The diagonal crossbar has a width of 15 cm and makes an angle of 24° with the horizontal. Find the length of x and y in the diagram. Hence find the width of the gate. All your trigonometrical problems answered !!!! width If you can remember the following triangles they will help you to solve any trigonometry question in a right-angled triangle. A SH CH TA 4 15 cm # 24° Th wh T Т
Transcribed Image Text:258 Exercise 5E 1 Richard cuts across the rectangular grass lawn in the middle of the school grounds. The long side of the rectangle measures 75 m and in order to reach the opposite corner his route makes an angle of 37° with this side. How far does he walk in crossing the grass? 2 D 0.3 m A feeding trough is to be made from a rectangular sheet of metal of width 1.6 m (i.e. AB + BC + CD = 1.6 m). The cross section is to be in the shape of a trapezium with a depth of 0.3 m and sides which make an angle of 54° with the horizontal. Find the width of the base of the trough, to the nearest cm. 54° base The distance between two straight river banks is 80 m. Jane tries to swim straight across the river but the current is strong and she is carried down river. Her course makes an angle of 58⁰ with the bank. How far does she actually swim? Find the perimeter of the rhombus. 6.2 m 48⁰ The tips of the blades of a pair of scissors are 8.6 cm apart and the angle between the blades is 38°. How long is each blade to the point where they meet? 6 A farm gate is 1.3 m high. The diagonal crossbar has a width of 15 cm and makes an angle of 24° with the horizontal. Find the length of x and y in the diagram. Hence find the width of the gate. All your trigonometrical problems answered !!!! width If you can remember the following triangles they will help you to solve any trigonometry question in a right-angled triangle. A SH CH TA 4 15 cm # 24° Th wh T Т
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