CBSE Class 10 Mathematics (Standard) — Some Applications of Trigonometry

A car is moving away from the base of a 30 m high tower. The angle of elevation of the top of the tower from the car at an instant, when the car is $10\sqrt{3}$ m away from the base of the tower, is : (a) 30° (b) 45° (c) 90° (d) 60°

Radio towers are used for transmitting a range of communication services including radio and television. The tower will either act as an antenna itself or support one or more antennas on its structure. On a similar concept, a radio station tower was built in two sections 'A' and 'B'. Tower is supported by wires from a point 'O' (as shown in figure). Distance between the base of the tower and point 'O' is 6 m. From point 'O', the angle of elevation of the top of the section 'B' is 30° and the angle of elevation of the top of section 'A' is 60°. Based on the above information, answer the following questions :

Find the length of the wire from the point 'O' to the top of section 'B'.

Find the length of the wire from the point 'O' to the top of section 'A'.

Find the distance AB.

OR Find the area of $\Delta OPB$.