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If two towers of height h1 and h2 subtend angle 60° and 30° respectively at the mid-point of line joining their bases, then h1h2 is 

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Important Questions on Some Applications of Trigonometry

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IMPORTANT
A tree of 6 m height casts a 4 m long shadow. At the same time, a flag post casts a shadow 50 m long. The height of post (in m) is 
EASY
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A pole 6 m high casts a shadow 23 m long on ground, the sun’s elevation is 
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From the top of a 7 m high building, the angle of elevation of the top of the cable tower is 60° and the angle of depression of its foot is 45°. Find the height of the tower.

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If the length of the shadow of a vertical pole is 3 times the height of the pole, then the angle of elevation of the sun is
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Two poles of equal heights are standing opposite to each other on either side of the road, which is 80 m wide. From a point between them on the ground, the angles of elevation of the top of the poles are 60° and 30° respectively. Find the height of the poles and the distance of the point from the pole.
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The length of the shadow of a 12 m high pillar falling on land is 43 m. The angle of elevation of the sun is
MEDIUM
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The length of the string of a kite flying at a height of 100 m from the ground and angle of elevation 60° is
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IMPORTANT
Two poles of equal heights are standing opposite to each other on either side of the road, which is 60 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 30° and 60° respectively. Find the heights of the poles and the distance of the point from the poles. (use 3=1.73)