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Arithmetic Aptitude :: Trigonometry

  1.  The two legs of a triangle are 300 and 150 m each, respectively. The angle opposite the 150 m side is 26°. What is the third side?

  2. A.

    197.49 m

    B.

    218.61 m

    C.

    282.15 m

    D.

    341.78 m


  3.  The sides of a triangular lot are 130 m, 180 m and 190 m. The lot is to be divided by a line bisecting the longest side and drawn from the opposite vertex. Find the length of the line

  4. A.

    120 m

    B.

    125 m

    C.

    128 m

    D.

    130 m


  5.  The sides of a triangle are 195, 157 and 210, respectively. What is the area of the triangle?

  6. A.

    10,250 sq. units

    B.

    11,260 sq. units

    C.

    14,586 sq. units

    D.

    73,250 sq. units


  7.  The sides of a triangle are 8, 15, and 17 units. If each side is doubled, how many square units will the are of the new triangle be?

  8. A.

    200

    B.

    240

    C.

    320

    D.

    420


  9.  If Greenwich Mean Time (GMT) is 6 A.M, what is the time at a place located 30° East longitude?

  10. A.

    4 A.M.

    B.

    7 A.M.

    C.

    8 A.M.

    D.

    9 A.M.


  11.  If the longitude of Tokyo is 139°E and that of Manila is 121°E, what is the time difference between Tokyo and Manila?

  12. A.

    1 hour and 5 minutes

    B.

    1 hour and 8 minutes

    C.

    1 hour and 10 minutes

    D.

    1 hour and 12 minutes


  13.  One degree on the equator of the earth is equivalent to _____ in time.

  14. A.

    1 hour

    B.

    30 minutes

    C.

    4 minutes

    D.

    1 minutes


  15.  A spherical triangle ABC has an angle C = 90° and sides a = 50° and c = 80°. Find the value of b in degrees.

  16. A.

    73.22

    B.

    74.33

    C.

    75.44

    D.

    76.55


  17.  Solve the remaining side of the spherical triangle whose given parts are A = B = 80° and a = b = 89°.

  18. A.

    158°12’

    B.

    162°21’

    C.

    168°31’

    D.

    172°12’


  19.  Solve for side b of a right spherical triangle ABC whose parts are a = 46°, c = 75° and C = 90°.

  20. A.

    48°

    B.

    68°

    C.

    74°

    D.

    78°