The measure of 2.25 revolutions counter-clockwise is:

A. -835 degrees

C. 805 degrees

B. -810 degrees

D. 810 degrees

D. 810 degrees

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If the supplement of an angle Ø is 5/2 of its compliment find the value of Ø?

A. 30 deg

B. 25 deg

C. 50 deg

D. 15 deg

A. 30 deg

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Which of the following is equal to 100 grads ?

A. 90 deg

C. 1600 mils

B. π/2 radians

D. All of these

D. All of these

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The cotangent of the angles pi/3pi/4 and pi/6 are in

A. A .P.

B. G.P.

C. H.P.

D. exponential

B. G.P.

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Find the angle in mils subtended by a line 10 yards long at a distance of 5000 yards?

A. 2.5 mils

B. 4 mills

C. 2 mils

D. 1 mil

C. 2 mils

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A surveyor's transit set up 112.1 feet from the base of a vertical chimney reads 32° 30' with the cross hairs set on the top of the chimney. With the telescope level, the vertical rod at the base of the chimney is 5.1 feet Compute the height of the chimney?

A. 66.3 ft

C. 76.5 ft

B. 71.4 ft

D. 170.9 ft

C. 76.5 ft

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From the second floor window of a building, the angle of depression of an object to the ground is 35°58' while from a fifth floor window, 9.75 m above the first point of observation the angle of depression is 58°35" How far is the object from the building?

A. 10.7 m

C. 13.5 m

B. 12.4 m

D. 11.5 m

A. 10.7 m

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Simplify (cos Ø)/(sin Ø + 1) + tan Ø

A. csc Ø

B. sec Ø

C. tan Ø

D. cot Ø

B. sec Ø

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If sin A = 4/5 and tan A + sec A = x then what is the value of x ?

A. 2

B. 4

C. 3

D. 10

C. 3

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cos 1° + cos 2+ cos 3° +...+ cos 180° is equal to

A. 1

C.0

B. -1

D. 2

B. -1

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In which quadrant will angle A terminates if sec A is positive and csc A is negative?

C. III

A. 1

B. II

D. IV

D. IV

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If sin A= 3/5 and A is in the second quadrant while cosine B = 7/25 and B is in the first quadrant, find sin (A+B).

A. 0.936

B. 0.6

C. 0.4

D. -0.82

B. 0.6

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If coversine of Ø is 0.134, find the value of Ø

A. 60 deg

B. 45 deg

C. 30 deg.

D. 20 deg.

A. 60 deg

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An airplane having a period of 120 miles an hour in calm air is pointed in a direction 30 deg east of north. A wind having a velocity of 15 miles an hour is blowing from the Northwest. Find the speed of the airplane relative to the ground?

A. 223 mph

B. 117 mph

C. 175 mph

D.124 mph

B. 117 mph

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A pole cast a shadow 15 m long when the angle of elevation of the sun is 61°. If the pole is leaned 15 from the vertical directly towards the sun, determine the length of the pole

A. 23.45

B. 15.67

C. 54.23 m

D. 34.56 m

C. 54.23 m

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The sides of a triangle are 8 cm, 10 cm and 14 cm. Determine the radius of the inscribed and circumscribing circle.

A. 2.45, 7.14

C. 3.43, 7.14

B. 2.45, 8.14

D. 5.43, 9.34

A. 2.45, 7.14

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A parcel of land in the form of a triangle has sides 312 m and 485 m long respectively.The area angle is 81°30'. Find the area of the land.

A. 74,824.11 sq. m.

C. 80,543.02 sq.m.

B. 47,895.23 sq. m

D. 34.,456.07 sq.m.

A. 74,824.11 sq. m.

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The area of a circle circumscribed about an equilateral triangle is 254.47 sq m. What is the area of triangle?

C. 83.15

D. 140.42

A. 105.24

B. 121.06

A. 105.24

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An oblique triangle is inscribed in a circle. If one side of the triangle has a length of 5 cm and the angle subtended by the side is 15°, determine the area of the circle.

A. 293.12 m²

B. 160.57 m².

D. 123.43 m²

C. 213.43 m²

A. 293.12 m²

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The two adjacent sides of a cyclic quadrilateral are 2 and 5 and the angle between them is 60 degrees. If the third side is 3, what is the 4th side?

A. 2

B. 3

C. 4

D. 5

A. 2

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