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10. Heights and Distances
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Q22 of 35 Page 219

If the ratio of the height of a tower and the length of its shadow is 1 : √3, then the angle of elevation of the sun has measure ………….


Let the height of tower be h and length of the shadow be a


Now,


From the figure we see that,



But


θ = 30⁰

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22

A 3 m long ladder leans on the wall such that its lower end remains 1.5 m away from the base of the wall. Then, the ladder makes an angle of measure ……… with the ground.

22

A tower is 50√3 m high. The angle of elevation of its top from a point 50 m away from its foot has measure

22

If the angles of elevation of a tower from two points distance a and b (a > b) from its foot on the same side of the tower have measure 30 and 60, then the height of the tower is ……….

22

The tops of two poles of height 18 m and 12 m are connected by a wire. If the wire makes an angle of measure 30 with horizontal, then the length of the wire is

Questions · 35
10. Heights and Distances
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