The angle of elevation of the top of a tower at a point X is 30°. On walking 30 m towards the tower if the angle of elevation becomes 60° at point Y, find the height of the tower?
Question | The angle of elevation of the top of a tower at a point X is 30°. On walking 30 m towards the tower if the angle of elevation becomes 60° at point Y, find the height of the tower? | |
Type | multiple_choice | |
Option | 26 m | correct |
Option | 28 m | incorrect |
Option | 29 m | incorrect |
Option | 30 m | incorrect |
Let AB be the height of tower and XA be the distance between point X and base of tower.
XA = 3XA – 90
– 2XA = – 90
Put the value of XA in equation (1) to find AB (height of tower).