MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures
Problem
A vertical cliff is 30 m high. A platform juts horizontally 6 m out from the cliff face and is 10 m below the top. A rescue rope is to run in two straight segments: one from the top of the cliff to the outer edge of the platform, and the second from that edge to a point on the ground 40 m horizontally from the foot of the cliff. To the nearest tenth of a metre, what is the minimum total length of rope required?
(a) 49.2m
(b) 52.9m
(c) 51.2m
(d) 54.7m