Two ships are sailing in the sea on the two sides of a light hou

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 Multiple Choice QuestionsMultiple Choice Questions

1.

The ratio between the height of tower and the point at some distance is 5 square root of 3 colon 5. What will be the angle of elevation?

  • 30 degree
  • 60 degree
  • 90 degree
  • 90 degree
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2.

Two towers A and B have lengths 45m and 15 m respectively. The angle of elevation from the bottom of the B tower to the top of the A tower is 60 degree. If the angle of elevation from the bottom of the A tower to the top of the B tower is straight theta, then the value of sin space straight theta is

  • fraction numerator 1 over denominator square root of 2 end fraction
  • fraction numerator square root of 3 over denominator 2 end fraction
  • fraction numerator 2 over denominator square root of 3 end fraction
  • fraction numerator 2 over denominator square root of 3 end fraction
185 Views

3.

The shadow of a tower standing on a level ground is found to be 40 m longer when the sun's altitude is 30 degree, then when it is 60 degree. Find the length of the tower.

  • 10 m

  • 10 square root of 3 straight m
  • 20 m

  • 20 m

590 Views

4.

The length of a shadow of a tower is 9 m when the sun's altitude is 30 degree. What is the height of the tower?

  • 4 1 half straight m
  • 9 square root of 3 straight m
  • fraction numerator 9 square root of 3 over denominator 2 end fraction straight m
  • fraction numerator 9 square root of 3 over denominator 2 end fraction straight m
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5.

From a point, 40 m apart from the foot of a tower, the angle of elevation of its top is 60°. The height of the tower is:

  • 40√2 cm

  • 40√3 cm

  • 40√3 m

  • 40√2 m

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6.

The angles of elevation of top and bottom of a flag kept on a flag post from 30 m distance are 45 degree and 30 degree respectively. Height of the flag is [taking square root of 3 space equals space 1.732]

  • 12 square root of 3 straight m
  • 15 m

  • 14.32 m

  • 14.32 m

340 Views

7.

A 25m long ladder is rested on a wall. The foot of the ladder is 7m away from the wall. If the end of the ladder (resting on the wall) slides down 4m, then how far will its foot move away?

  • 5 m

  • 8 m

  • 9 m

  • 9 m

190 Views

8.

A man standing on the bank of river observes that the angle subtended by a tree on the opposite bank is 60°. When he retires 36 m from the bank, he finds that the angle is 30°. The breadth of the river is

  • 15 m

  • 18 m

  • 16 m

  • 16 m

298 Views

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9.

129 m from the foot of a cliff on level of ground, the angle of elevation of the top of a cliff is 30°. The height of this cliff is

  • 50√3 m

  • 45√3 m

  • 43√3 m

  • 44√3 m

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10.

Two ships are sailing in the sea on the two sides of a light house. The angle of elevation of the top of the light house as observed from the two ships are 30° and 45° respectively. If the light house is 100m high, the distance between the two ships is :(take √3=1.73)

  • 173 m

  • 200 m

  • 273 m

  • 373 m


C.

273 m



In △ ABD,



In △ ADC,



∴ Distance between the two ships = BD + DC
                                                   = 100 + 173
                                                   = 273 m

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