The tops of two poles of heights 18m and 30.5m are connected by a wire. If the wire makes an angle of 30° with the horizontal, what is the length (in m) of the wire?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 25
Formula used:
sinθ = perpendicular/hypotenuse ---- (1)
Calculations:
Here, AB and CD are the heights of towers and AC is the length of wire.
We know that CD = BE and AE = 12.5 m
Using equation (1) in triangle AEC
⇒ sin 30 = AE/AC
⇒ 1/2 = 12.5/AC
⇒ AC = 25 m
Hence, the length of the wire is 25 m.