A boy walks 60m on a bearing of 035° and then 300m due east. How far is he from his starting point?
Using trigonometry, we can calculate the distances in the north and east direction to find the total distance from the starting point.
North distance = 60m * sin(35°) ≈ 34.64m
East distance = 60m * cos(35°) + 300m = 254.83m
Now, we can use the Pythagorean theorem to find the total distance:
Distance = √(North distance^2 + East distance^2)
Distance = √(34.64^2 + 254.83^2)
Distance ≈ √(1199.65 + 64867.78)
Distance ≈ √(66067.43)
Distance ≈ 256.94m
The boy is approximately 256.94 meters from his starting point.