Final answer:
The east and north components of a hiker's walk of 14.7km at a 35° angle east of south are approximately 8.45 km and 12.04 km, respectively, calculated using sine and cosine functions.
Step-by-step explanation:
To find the east and north components of a hiker's walk of 14.7km at an angle 35° east of south, we use trigonometry:
- East component (E) = 14.7 km × sin(35°)
- North component (N) = 14.7 km × cos(35°)
First, we calculate the east component:
E = 14.7 km × sin(35°)
E ≈ 8.45 km
Then, we calculate the north component:
N = 14.7 km × cos(35°)
N ≈ 12.04 km
We have now found both components of the displacement: the hiker has an east component of approximately 8.45 km and a north component of approximately 12.04 km.