Q27 of 49 Page 1

From the top of a 15 m high building, the angle of elevation of the top of a cable tower is 60o and the angle of depression of its foot is 30o. Determine the height of the tower.


Let AB be the building, with AB=15m


And CE be the cable tower.


And D be the point at exact same height of A, CD=AB=15m


In ΔADC,




AD=15√3m


In ΔADE,




DE=15 × 3=45m


∴ Height of cable tower, CE=CD + DE=15 + 45=60m


More from this chapter

All 49 →
23

Draw a triangle PQR such that PQ = 5 cm, ∠P=120° and PR=6cm. Construct another triangle whose sides are times the corresponding sides of .

 24

Find the point of y – axis which is equidistant from the points (-5, -2) and (3, 2).

 25

From a solid cylinder of height 20 cm and diameter 12 cm, a conical cavity of height 8 cm and radius 6 cm is hollowed out. Find the total surface area of the remaining solid.

 26

The length and breadth of a rectangular piece of paper are 28 cm and 14 cm respectively. A semi-circular portion is cut off from the breadth’s side and a semi-circular portion is added on length’s side, as shown in Fig. 8. Find the area of the shaded region. .