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Arithmetic Aptitude :: Trigonometry

  1.  A man standing on a 48.5 meter building high, has an eyesight height of 1.5m from the top of the building, took a depression reading from the top of another building and wall, which are 50° & 80°

  2. A.

    35.50

    B.

    36.50

    C.

    39.49

    D.

    42.55


  3.  Points A and B 1000 m apart are plotted on a straight highway running East and West. From A, the bearing of a tower C is 32° W of N and from B the bearing of C is 26° N of E. Approximate the shortest

  4. A.

    364 m

    B.

    374 m

    C.

    384 m

    D.

    394 m


  5.  Two triangles have equal bases. The altitude of one triangle is 3 units more than its base and the altitude of the other triangle is 3 units less than its base. Find the altitudes, if the areas of the

  6. A.

    3 and 9

    B.

    4 and 10

    C.

    5 and 11

    D.

    6 and 12


  7.  A ship started sailing S 42°35’ W at the rate of 5 kph. After 2 hours, ship B started at the same port going N 46°20’ W at the rate of 7 kph. After how many hours will the second ship be exactly north

  8. A.

    3.68

    B.

    4.03

    C.

    4.83

    D.

    5.12


  9.  An aero lift airplane can fly at airspeed of 300 mph. If there is a wind blowing towards the cast at 50 mph, what should be the plane’s compass heading in order for its course to be 30°? What will be

  10. A.

    19.7°, 307.4 mph

    B.

    20.1°, 309.1 mph

    C.

    21.7°, 321.8 mph

    D.

    22.3°, 319.2 mph


  11.  A man finds the angle of elevation of the top of a tower to be 30°. He walks 85 m nearer the tower and finds its angle of elevation to be 60°. What is the height of the tower?

  12. A.

    73.16 m

    B.

    73.31 m

    C.

    73.61 m

    D.

    76.31 m


  13.  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.

  14. A.

    42.44 m

    B.

    46.21 m

    C.

    48.23 m

    D.

    54.23 m


  15.  A wire supporting a pole is fastened to it 20 feet from the ground and to the ground 15 feet from the pole. Determine the length of the wire and the angle it makes with the pole.

  16. A.

    24 ft, 36.87°

    B.

    24 ft, 53.13°

    C.

    25 ft, 36.87°

    D.

    25 ft, 53.13°


  17.  A PLDT tower and a monument stand on a level plane. The angles of depression of the top and bottom of the monument viewed from the top of the PLDT tower at 13° and 35° respectively. The height of the

  18. A.

    29.13 m

    B.

    30.11 m

    C.

    32.12 m

    D.

    33.51 m


  19.  If an equivalent triangle is circumscribed about a circle of radius 10 cm, determine the side of the triangle.

  20. A.

    32.10 cm

    B.

    34.64 cm

    C.

    36.44 cm

    D.

    64.12 cm