Question

problem 2
determine the x and y components of a displacement of 120km
at 29° counterclockwise from the y-axis.

Explanation:

Step1: X分量公式

$x = d \cdot \sin(\theta)$

Step2: 计算X分量

$x = 120 \cdot \sin(29^\circ) \approx 120 \cdot 0.4848 \approx 58.18\ \text{km}$

Step3: Y分量公式

$y = d \cdot \cos(\theta)$

Step4: 计算Y分量

$y = 120 \cdot \cos(29^\circ) \approx 120 \cdot 0.8746 \approx 104.95\ \text{km}$

Answer:

x分量约为58.2 km，y分量约为105.0 km