A rock climber uses a rope to ascend a cliff. If the vertical height of the cliff is 35 meters and the rope makes an angle of 30° with the level ground, what is the minimum length of the rope required to reach the top?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 70 m.
Cliff height (AB) = 35 m
Rope length = AC
sin 30° = 35/AC
⇒ 1/2 = 35/AC
⇒ AC = 35 × 2 = 70 m