- A boy enters a large horizontal field and sees a friend 100 m due north. The friend is walking in an easterly direction at a constant speed of \(0.75 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The boy can walk at a maximum speed of \(1 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
Find the shortest time for the boy to intercept his friend and the bearing on which he must travel to achieve this.
(6)