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10. Heights and Distances
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Q22 of 35 Page 219

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


From the figure we see that,



Tan θ = √3


But, tan 60 = √3


θ = 60⁰

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22

The angle of elevation of the top of the tower from a point P on the ground has measure 45. The distance of the tower from the point P is a and height of the tower is b. Then, ……….

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.

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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 ………….

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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 ……….

Questions · 35
10. Heights and Distances
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