Determine maximum distance from base of pole down hillside
The vertical pole 38 feet tall stands on the hill side which makes the angle of 13.83 degrees with horizontal. If 82-foot rope is attached to top of pole, determine maximum distance from base of pole down hillside that rope will reach.
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Number of bacteria in the certain population rises according to the exponential growth model, with the growth rate of 3.5 % per hour. How many hours it takes for size of sample to double?
The storage tank for propane gas is to be made in shape of the right circular cylinder of altitude 20 ft with the hemisphere attached to each end. Find radius x so that resulting volume is 49.5(pi)ft^3
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Swimming pool drained for maintenance. Pool is shaped like the cylinder with the diameter of 11 m and depth of 2 m. If water is pumped out of pool at rate of 13 m3 per hour, how many hours it takes to empty pool? Use value 3.14 for π.
The cable reaches from top of one of poles to some point on ground between poles and then to top of other pole. Where must the point be situated to use 18 feet of cable?
The wire 16 in long is cut into 2 pieces, one length x and other 16-x. 1 piece is bent in shape of the square and other equilateral triangle.
The certain trolley travels the distance of d=245.5 meters at the angle of approximately a=29.4 degrees, increasing to the height of h=310.5 meters above sea level. Determine elevation of lower end of inclined plane.
The mirror is hung from middle of the wire so that every half of wire pulls with the force of 100N. Two halves of wire makes the angle of 160 degrees with each other. Determine weight of mirror? Illustrate all work.
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