10th Maths Chapter - 6 Trignometry Exercise : 6.2 Animation Solved Sums

1.   Find the angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of a tower of height 10 √3 m.

2. A road is flanked on either side by continuous rows of houses of height 4√3 m  with no space in between them. A pedestrian is standing on the median of the  road facing a row house. The angle of elevation from the pedestrian to the top of the house is 30° . Find the width of the road.

3. To a man standing outside his house, the angles of elevation of the top and bottom of a window are 60° and 45° respectively. If the height of the man is 180 cm and if he is 5 m away from the wall, what is the height of  the window? √3 = 1.732 

4.   A statue 1.6 m tall stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60° and from the same point the angle of  elevation of the top of the pedestal  is 40°. Find the height of the pedestal  (tan40° = 0.8391 and √3 = 1.732 )

5. A flag pole ‘h’ metres is on the top of the hemispherical dome of radius ‘r’  metres. A man is standing 7 m away from the dome. Seeing the top of  the pole at an angle 45° and moving 5 m away from the dome and seeing the bottom of the pole at an angle 30°. Find (i) the height of the pole (ii) radius of the dome. √3 = 1.732

6. The top of a 15 m high tower makes an angle of elevation of 60° with the bottom of an electronic pole  and angle of elevation of 30° with the top of  the pole. What is the height of the electric pole?