One wall of the library needs to be painted. If the wall is 20.5m long and the paint covers 11m2 per litre, how many litres are needed? What assumptions have you made?
A car is parked 14m from the big tree by the common room. Will the car be hit by the tree? What assumptions have you made?
The light pole on the field is unstable and needs support cables attached. These need to be 1m from the top and meet the ground at a maximum angle of 70o. What length will they need to be?
A set of rugby goalposts has to come down and be transported away on the public roads. The groundsman needs to know if he can transport the posts safely using his van and a trailer.
The groundsman intends to shift the posts using his trailer
The trailer has a rectangular base 6.5 m long, 2.4 m wide with sides 0.8m high The drawbar of the trailer makes the gap between the back of the van and the front edge of the trailer 1.1m. He is going to place the post in the trailer that will be towed by a van as shown in the diagram below. The floor of the trailer and drawbar are 0.7m above the ground. The maximum height restriction in the area for a load is 4.4m
The groundsman wants to place the posts in the trailer, with the bottom at the back of the trailer and the top somewhere over the van as shown in the diagram. For safety reasons, the post must clear the van by 0.5m and the tip of the bar must be over the roof of the van when it is travelling in a straight line.
He has asked you to confirm that this is possible.
More Information
The posts are vertical. They are placed in the ground with 0.75 m below the ground (the dashed part in the diagram.) The cross bar is 5.6 m long.
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