A ship leaving port sails for 75 miles

in a direct 35° north of due east: Find

the magnitude of the vertical and

horizontal components.

Vertical = 61.43 miles

Horizontal=43.02 miles

Step-by-step explanation:

We use the trigonometric ratios for a right angled triangle to calculate the components.

The vertical is the adjacent while the horizontal is the opposite.

The vertical is calculated as follows:

V = 75 Cos 35° = 61.43 Miles

The magnitude of the horizontal H is calculated as follows:

H = 75 Sin 35° = 43.02 miles