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Q&A: An underground sprinkler system is laid at an angle of 34.5 degrees to a fence.?
January 25, 2012
Question by : An underground sprinkler system is laid at an angle of 34.5 degrees to a fence.?
An underground sprinkler system is laid at an angle of 34.5 degrees to a fence. The sprinkler jets are 10m apart and have a range of 12m. Determine the length of the fence that gets wet from the sprinklers, to the nearest tenth of a metre. the answer is 20.5m
I did sin34.5=0.566
1st sprinkler =5.66m away
2nd=11.32m
3rd=16.98m
r=20cos34.5=16.48 i dont know what im doing wrong
Best answer:
Answer by falzoon
Draw triangle ABC with A at the 34.5º vertex, B on the sprinkler at 10m from A,
and C on the fence, 12m from B. Let AC = x.
Then, by the cosine rule, cos(34.5º) = (10^2 + x^2 – 12^2)/(2*10*x)
Rearranging this to quadratic form and solving, gives x = 18.8 to 1 decimal place.
Now move point B to 20m distant from point A and point C may also move.
Now by the cosine rule, cos(34.5º) = (20^2 + x^2 – 12^2)/(2*20*x)
Solving gives x = 20.4.
That didn’t move very much from the previous point C, but we need
to see what happens at the next sprinkler jet.
cos(34.5º) = (30^2 + x^2 – 12^2)/(2*30*x)
Solving this for x gives no real solutions, only imaginary ones,
so it appears that BC, in this situation, must be greater than 12m.
Thus, the answer must be x = 20.4m.
Know better? Leave your own answer in the comments!
Toro 53710 12-Inch Pop-Up Fixed Spray Shrub Sprinkler (Body Only – Nozzle Sold Separately)
January 20, 2012
Toro 53710 12-Inch Pop-Up Fixed Spray Shrub Sprinkler (Body Only – Nozzle Sold Separately)
- 12-Inch pop-up height for shrub areas
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570 Series, 12′, Pop Up Body, Side Inlet, With Flush Plug.
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Havahart 5265 Spray Away Motion Detector Sprinkler Animal Repellent Reviews
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- Water shoots 35 feet in length, protects 1000 square feet of your property 24/7.
- One 9 volt battery(not included) is good for thousands of activations, and battery life typically extends up to six months
- Limited 2 year manufacture warranty
Animals aren’t known for their deep respect for property rights, so this motion sprinkler can help. The electronic valve releases three seconds of water from an attached garden hose. Water sprays up to 35 feet. Adjustable sensitivity detector and random spray pattern to prevent animals from growing accustomed to the sprayer. Protects up to a 1000 sq. ft. area. Has a 180 degree front sweep with infra-red motion detection.
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Freeze-Click
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Quarter Circle Pattern Plastic Shrubbery Spray Head, For Rainbird Underground Sprinkler Systems.
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Claber 8583 Koala Indoor Faucet to Garden Hose Connector Reviews
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Claber 8583 Koala Indoor Faucet to Garden Hose Connector
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Claber Koala Indoor Faucet Connector Connect a Garden Hose to Your Kitchen Sink The Claber Koala Indoor Faucet Connector converts a household faucet to enable use of any standard garden hose. It easily attaches to most long neck kitchen and/or utility faucets. The Koala Faucet Connector is easy to install, no tools required, and is ideal to fill aquariums and waterbeds or to water patio plants. All Claber hose reels are constructed in ABS plastic material as well as in aluminum/stainless steel,
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Rain Bird 20 to 41-Foot Coverage Radius Brass Impact Rotor Sprinkler Head 25PJDAC
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