Q22 of 35 Page 219

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 ……….

Let the height of the tower be h.



From the figure we see that,


and


Now,



H2 = ab


H = √ab

More from this chapter

All 35 →
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 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 ………….

 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

 22

The angle of elevation of the top of the building A from the base of building B has measure 50. The angle of elevation of the top of the building B from the base of building A has measure 70. Then, ………….