Question

The observer deck of a ship is located at the origin of a coordinate system. Find the bearing of an object located at the point (5, 5).

Answer 1

45° north of east

Explanation:

tan⁻¹(y/x) = tan⁻¹(5/5) = tan⁻¹(1) = 45°

Answer 2

The observer deck of a ship is located at the origin of a coordinate system. Find the bearing of an object located at the point (5, 5).

Explanation:

To find the bearing of an object located at the point (5, 5) relative to the observer deck at the origin of a coordinate system, we need to find the angle between the positive x-axis and the line connecting the observer deck to the object.

First, we calculate the slope of the line connecting the observer deck at (0, 0) to the object at (5, 5):

slope = (change in y) / (change in x)

= (5 - 0) / (5 - 0)

= 1

Next, we use the inverse tangent function to find the angle whose tangent is equal to the slope:

angle = arctan(slope)

= arctan(1)

= 45°

Therefore, the bearing of the object located at (5, 5) relative to the observer deck at the origin is 45 degrees.