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  • Question 1
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    From the top of the house 18 m high if the angle of elevation of the top of a tower is $$\displaystyle 45^{\circ}$$ and the angle of depression of the foot of the tower is $$\displaystyle 30^{\circ}$$, then the height of the tower is

  • Question 2
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    A tower subtends an angle $$\displaystyle \alpha $$ at point 'A' in the plane of its base and the angle of depression of the foot of the tower at height 'b' just above A is $$\displaystyle \beta  $$. The height of the tower is

  • Question 3
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    A man in a boat rowed away from a cliff $$50$$ m high It takes $$2$$ minutes to change the elevation at the top of the cliff from $$\displaystyle   60^{\circ}  $$ to $$\displaystyle   45^{\circ}  $$ The speed of the boat is 

  • Question 4
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    A kite is flying with the string inclined at $$\displaystyle 45^{\circ}$$ to the horizontal   If the string is straight and 50 m long the height at which the kite is flying is 

  • Question 5
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    The distance between two buildings is $$24\ \text{m}$$. The heights of the buildings are $$12\ \text{m}$$ and $$22\ \text{m}$$. Find the distance between the tops (in $$\text{m}$$).

  • Question 6
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    The angle of elevation at the top of a tower from a point 10 m from the foot of the tower is $$\displaystyle  30^{\circ}   $$  The height of the tower is 

  • Question 7
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    A ladder of a fire truck is elevated to an angle of $$60^{\circ}$$ and extended to a length of $$70\ feet$$. If the base of the ladder is $$7\ feet$$ above the ground, how many feet above the ground does the ladder reach? 

  • Question 8
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    If the object to be viewed is below the level of the observer, then the angle by which the observer lowers his head down is called _____.

  • Question 9
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    A tower subtends at angle $$\displaystyle\theta$$ at a point P on the same level as the foot of the tower and from a point h m above P the depression of the foot of the tower is $$\displaystyle\alpha$$ . The height of the tower is (in m)

  • Question 10
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    At a certain instant the ratio of the length of a pilar and its shadow are in ratio $$1:$$$$\sqrt3$$. At that instance, the angle of elevation of the sun is _____

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