The tops of two poles are connected by a wire. The heights of the poles are 10 m and 14 m respectively. If the wire makes a 30° angle with the horizontal, find the length of the wire?
Question | The tops of two poles are connected by a wire. The heights of the poles are 10 m and 14 m respectively. If the wire makes a 30° angle with the horizontal, find the length of the wire? | |
Type | multiple_choice | |
Option | 7 m | incorrect |
Option | 7.5m | incorrect |
Option | 8m | correct |
Option | 8.5m | incorrect |
Let AD and BE, be the poles of height 10 m and 14 m respectively.
DE is the wire of length = L
DC is parallel to AB so AD = BC = 10 m
So, CE = BE – BC = 14 – 10 = 4 m