The top of two trees of height 75 metres and 45 metres are connected by a wire. If the rope makes an angle

The top of two trees of height 75 metres and 45 metres are connected by a wire. If the rope makes an angle with the horizontal whose tangent is 6/13 metres, then what is the distance (in metres) between the two trees?

(a)          60

(b)          24

(c)           55

(d)          65

Sol:

6→ 30 (75 – 45) [GIVEN TOTAL HEIGHT AS 75 IN QUES]

1→ 5 13 → 65 cm.