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  • Question 1
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    The angular elevation of a tower from a point is $$\displaystyle 30^{\circ}$$ As we more $$100$$ m nearer to the base of the tower the angle of elevation becomes $$\displaystyle 60^{\circ}$$. Find the height of the tower and the distance of the first point from the base of the tower

  • Question 2
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    The angle of elevation of the top of a tower from point at a distance of $$100$$ metres from its foot on a horizontal plane is found to be $$\displaystyle 60^{\circ}$$. Find the height of the tower

  • Question 3
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    The length of a shadow of a pole is $$\displaystyle \sqrt{3} $$ times the length of the pole. The angle of elevation of the sun is

  • Question 4
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    Two men on either side of a temple $$126\ m$$ high observe the angle of elevation of the top of the temple to be $$\displaystyle 30^{\circ}$$ and $$\displaystyle 60^{\circ}$$ respectively. Find the distance between the two men?

  • Question 5
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    Two pillars are of equal height on either sides of a road which is 100 m wide. The angles of elevation of the top of the pillars are $$\displaystyle 60^{\circ}$$ and $$\displaystyle 30^{\circ}$$ at a point on the road between the pillars. Find the position of the point between the pillars and height of each pillar

  • Question 6
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    A circus artist is climbing a 20 m long rope Which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole if the angle made by the rope with the ground level is $$\displaystyle 30^{\circ}$$

  • Question 7
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    A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. If the length of the string is $$\displaystyle 40\sqrt{3}\: m$$ then find the inclination of the string with the ground.

  • Question 8
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    The elevation of the top of hill at each of the three angular points X, Y, Z of a horizontal $$\displaystyle \Delta $$ XYZ is $$\displaystyle \alpha  $$ then the height of the hill is :

  • Question 9
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    The angle of elevation of the top of a tower as seen from two points $$A$$ & $$B$$ situated the same line and at distance '$$p$$' and '$$q$$' respectively from the foot of the tower are complementary, then height of the tower is 

  • Question 10
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    Vijay has been invited for dinner in a club. While walking through the garden path towards the building he observes that there is an electric rod on the top of the building. 

    From the point where he is standing the angles of elevation of the top of the electric rod and the top of the building are $$\displaystyle \Phi $$ and $$\theta$$ respectively.

    If the heights of the electric rod and the building are $$p$$ and $$q$$ respectively, then mark all the correct statements

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