From point 'P' on the ground, a long metallic cable is laid to the top of a cliff, making an angle of 30° with the ground such that the length of the cable laid is 450√3 metres. Find the distance between point 'P' and the foot of the cliff.
Show answer & explanation
Correct answer: C
Explanation
Given:
Cable length = 450√3 m
Angle = 30°
Formula:
cos θ = base / hypotenuse
cos 30° = base / (450√3)
√3/2 = base / (450√3)
Base = 450√3 × (√3/2)
Base = 450 × 3 / 2 = 675
Distance = 675 m