A car driver traveling at a speed of 65 mph approached a hazard and traveled 72.2m. during the perception-reaction time. What was the drivers PIEV (perception, identification, emotion and volition) time in seconds.
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Lot ABCDEFA is a closed traversed (clockwise) in the form of a regular hexagon with each side equal to 100m. The bearing of AB is N. 25° E. What is the bearing of CD.
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A compound curve has a common tangent 520m. long. The first curve passing thru the P.C. is a 3 degree curve with a central angle of 50°. Find the radius of the second curve if its central angle is 35°.
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The following interior angles of a triangle traverse were measured with the same precision. What is the most probable value of angle A in degrees.
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What is the area of an octagon inscribed in a circle having an area of 224 sq.m.
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A man is required to pay P57,500 at the end of 15 days or P60,000 at the end of 60 days. Determine the rate of interest.
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A man pays P20,000 per year for 8 years starting at the end of 11th year from now. Using an interest rate of 5% compounded annually, what is the value of the amount the borrowed now?
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A car weighing 1000 kg runs at 60kph around an unbanked circular curve with a radius of 100m. What force of friction on the tires should be to prevent the car from sliding?
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A truncated prism has a horizontal triangular base ABC. AB = 10cm., BC = 12cm. and CA = 8cm. the vertical edges through A, B and C are 20cm., 12 cm. and 18cm. respectively. Determine the volume of the prism.
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If a, -4, b forms a geometric progression and 14, 1, b forms an arithmetic progression, find the value of a and b.
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A machine cost P1,400,00 has a salvage value of P10.000 at the end of its useful life of 8 years. Determine the fourth (4th) year depreciation using double declining balance method.
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Find the value of x in the following cross-section notes if the width of the roadway is 10m., with a side slope of 2:1 with a cross-sectional area of 31.7 square meters.
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If the distance of the midpoint of the curve to the P.I. is 14.20m., what is the central is the central angle of the curve that has a radius of 200m.
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Find the radius of the spherical wedge whose volume is 12m3 with a central angle of 1.8 radians.
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Find the ratio of the minor axis to the major axis of an ellipse 9x2 + 16y2 = 144.
Solution:
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