(b) An irrigation sprinkler is placed on a level playing field. It waters in a circular pattern over a radius of 10 m, a

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(b) An irrigation sprinkler is placed on a level playing field. It waters in a circular pattern over a radius of 10 m, a

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B An Irrigation Sprinkler Is Placed On A Level Playing Field It Waters In A Circular Pattern Over A Radius Of 10 M A 1
B An Irrigation Sprinkler Is Placed On A Level Playing Field It Waters In A Circular Pattern Over A Radius Of 10 M A 1 (34.36 KiB) Viewed 31 times
(b) An irrigation sprinkler is placed on a level playing field. It waters in a circular pattern over a radius of 10 m, and can be set to cover a particular sector with a set angle of 0 as shown. It delivers enough water to irrigate 12 m² of horizontal ground in 8 minutes. During a drought the sprinkler may only be used for 40 minutes a day. 10 me i. Find to the nearest 1°, the largest angle the sprinkler may be set to on any day under these drought conditions. (3 marks) ii. Determine the associated arc length a of the sector watered under the same conditions. (1 mark) iii. To protect pedestrians against getting wet if the sprinkler turns on unexpectedly, picket fencing is to be put around the sector to be watered. What minimum length of fencing is required? (1 mark) NZDE Examination (Core) DE4102 Engineering Mathematics Final November 2020
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