A boy walks 60m on a bearing of 035° and then 300m due east. How far is he from his starting point?

Answer 1

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.