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Heights & Distances

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21.

A balloon is connected to a meteorological station by a cable of length 200 m, inclined at 60º to the horizontal. Find the height of the balloon from the ground. Assume that there is no slack in the c

Answer: C

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22.

From the top of mast head of height 210 meters of a ship, a boat is observed at an angle of depression of 30° then the distance between them is

Answer: A

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23.

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100

Answer: B

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24.

At a moment, the shadow's length of a shaft is √3 times the stature of the shaft. The edge of rise of the sun is:

Answer: A

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25.

A tree bent by the wind .The top of the tree meets the ground at an angle of 60°.If the distance between the top of the foot be 8 m then what was the height of the tree?

Answer: B

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26.

The elevation of T, from A is xº where tan xº = 2/5 and AF = 200 m. The elevation of T from B, where AB = 80 m is yº. Calculate : (a)the height of the tower TF, (b)the angle ’y’ correct to nearest degree

Answer: B

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27.

The top of a 15 metre high tower makes an angle of elevation of 60° with the bottom of an electronic pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pole?

Answer: D

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28.

The pilot of a helicopter, at an altitude of 1200m finds that the two ships are sailing towards it in the same direction. The angle of depression of the ships as observed from the helicopter are 60º a

Answer: C

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29.

Two vertical poles are 200 m apart and the height of one is double that of the other. From the middle point of the line joining their feet, an observer finds the angular elevations of their tops to be complementary. Find the heights of the poles.

Answer: D

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30.

Ramesh and Suresh’s mud forts have heights 8cm and 15 cm. They are 24 cm apart. How far are the fort tops from each other?

Answer: C

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