Question

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.

Answer 1

Vertical= 61.43 miles

Horizontal=43.02 miles

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