Two buildings are 40 m apart. The angle of depression of the top of one building of height 100 m with the top of second building of unknown height is 60°. Find the height of second building?
Question | Two buildings are 40 m apart. The angle of depression of the top of one building of height 100 m with the top of second building of unknown height is 60°. Find the height of second building? | |
Type | multiple_choice | |
Option | 30.8 m | correct |
Option | 60 m | incorrect |
Option | 76.8 m | incorrect |
Option | 40.5 m | incorrect |
Le t the height of the second building AD be h.
EC = 100 – h
DC = AB = 40
100 -h = 40 * √3
– h = -100 + 40 * 1.73
– h = -100 + 69.2 h = 30.8 m ( Option A)