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- Question : 1P - In the right triangle shown,
- Question : 2P - In the right triangle ABC shown, and angle a. Determine side a. b. Determine side b. c. Determine height h.
- Question : 3P - Determine the length of side a and the measure of the two acute angles.
- Question : 4P - A 28-ft-long ladder leaning against a wall makes an angle of 70
- Question : 5P - Two legs of a right triangle are 6 ft and 10 ft. Determine the length of the hypotenuse and the angle opposite the short side.
- Question : 6P - In the roof truss shown, determine the lengths of the top chords AB and BC and find the angles at A and C.
- Question : 7P - A level scaffold is to be supported at the center of a 12-ft ladder, as shown. Determine the required length x and the angle ?
- Question : 8P - A wanderer hikes due east for 2 mi, then southeast for 3 mi, then due north for 6 mi, then southwest for 6 mi. She then notices a storm gathering. How far is she from her starting point?
- Question : 9P - Freehand sketch the following triangles and solve completely. (Find the unknown sides and/or angles.)
- Question : 10P - 0 One side of a triangular lot is 100 ft and the angle opposite this side is 55
- Question : 11P - A box containing 8 shock absorbers and 10 brake pad sets weighs 101.6 lb. Another box containing 10 shock absorbers and 6 brake pad sets weighs 106.2 lb. Determine the weight of one shock absorber and one set of brake pads. Neglect the weight of the boxes.
- Question : 12P - Find the cable lengths AB and BC, the angle C, and the angle at B (angle ABC).
- Question : 13P - Express 0.015 ton (a) in pounds (lb) and (b) in ounces (oz).
- Question : 14P - Express 5 mi (a) in yards (yd) and (b) in feet (ft).
- Question : 15P - Express 60 miles per hour (mph) in units of feet per second (fps).
- Question : 16P - Find the number of square rods in one acre.
- Question : 17P - A reservoir contains an estimated 125 billion gallons of water. a. Express this volume in acre-ft. b. Estimate the weight of this volume of water in tons.
- Question : 18P - Convert the following: a. 27 ft
- Question : 19P - A water system of 2 in. (inside diameter) pipe, having a length of mile, is to be flushed with a volume of water equal to twice that contained in the system. How much water (gallons) must be flushed through the system?
- Question : 20P - The soil pressure under a concrete footing is calculated to be 2 tons per square foot. Express this value in pounds per square foot (psf) and pounds per square inch (psi).
- Question : 21P - Using Table 1 , establish your height in millimeters (mm), your weight in newtons (N), and your mass in kilograms (kg). .
- Question : 22P - The dimensions on a baseball field are as follows: pitcher
- Question : 23P - Convert the following quantities from U.S. Customary System units to the designated SI units: a. 2212 lb to kg b. 87 ft to mm and m c. 18,460 psi to MPa and kPa
- Question : 24P - Convert the following quantities to SI units of millimeters and meters:
- Question : 25P - Convert the following quantities to SI units of newtons and kilonewtons: a. 248 lb b. 3.65 kips c. 8.7 tons
- Question : 26P - Convert the following quantities to the designated SI units: a. 627 in to mm and m b. 14 yd to mm and m c. 3.5 kips/ft to kN/m d. 8470 psi to Mpa and kPa e. 1740 psf to Pa and kPa f. 2.8 kips/ft to kPa g. 247 pcf to kN/m
- Question : 27P - Rework Problem 1.19 using an inside pipe diameter of 50 mm and a system length of 400 m. Find the volume of flushing water in liters.
- Question : 28P - A spherical tank has a radius of 27 in. Find the volume of the tank in (a) cubic inches (in ), (b) cubic millimeters (mm ), (c) cubic meters (m ), and (d) liters.
- Question : 29P - A ladder rests against a vertical wall at a point 12 ft from the floor. The angle formed by the ladder and the floor is 63
- Question : 30P - A surveyor measures a zenith angle of 70
- Question : 31P - The tower of a tower crane casts a shadow (on level ground) of 32 m when the sun is 55
- Question : 32P - From the top of a 30-ft building, the angle of depression to the foot of a building across the street is 17
- Question : 33P - Two planes, starting from airport X, fly for 2 hr, one at 800 km/hr and the other at 1050 km/hr. The slower plane flies in a direction of 60
- Question : 34P - Rework Problem 1.31 assuming that the ground slopes upward at 1:5 from the base of the crane to the end of the shadow, as shown.
- Question : 35P - An Egyptian pyramid has a square base and symmetrical sloping faces. The inclination of each sloping face is 53
- Question : 36P - Two observation towers A and B are located 300 ft apart, as shown. An object on the ground between the towers is observed at point C, and the observer on tower A notes that the angle CAB is 68
- Question : 37P - 7 Two people fishing from rowboats on a lake are 100 m apart and have hooked their lines into the same sunken log. The first has 85 m of line out, and the second has 68 m of line out. Assuming that the lines both lie in the same vertical plane, meet at a point (on the log), and are taut, how deep is the sunken log?
- Question : 38P - What is the average speed in miles per hour (mph) of a runner who runs a mile in 4 min? What is the average speed (mph) of a runner who runs a 26-mi race in 2 hr and 47 min?
- Question : 39P - The volume flow of a river is expressed as 5000 cubic feet per second (cfs). Express the flow in gallons per minute and cubic miles per year.
- Question : 40P - A 55-gal drum filled with sand weighs 816 lb. The empty drum weighs 38 lb. Find the unit weight of the sand in pounds per cubic foot (pcf).
- Question : 41P - The total area to be occupied by a building and a parking lot is 90,000 ft . If the area occupied by the parking lot is to be acre plus three times the area occupied by the building, what is the area occupied by each?
- Question : 42P - An electronic distance measurement device (EDM) is to be used to lay out a canoe race course on a lake. Buoys B and C have been placed. The EDM is set up at point A as shown. AB is 175.83 m and AC is 287.21 m. The angle at A is 42

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