Answer :

To determine how far south the boat has sailed after travelling at 25mph for 5 hours on a bearing of 100.8167 degrees, we calculate the southward component of the total distance using trigonometry, resulting in approximately 123.4 miles south.

The question asks for the distance a boat has sailed south after traveling at a certain speed and bearing for a given amount of time. To find the southern distance, we need to decompose the total distance traveled into its north-south and east-west components using trigonometry. The boat's bearing of 100 49/60 degrees can be simplified into a bearing of 100.8167 degrees from north.

Since the boat is traveling 25 miles per hour for 5 hours, the total distance traveled is 125 miles. The southern component of the distance (or the projection on the south-north axis) is calculated using the sine function because the bearing is past 90 degrees (east of north).

The southward distance (S) can be calculated using the formula: S = D * sin(θ), where D is the total distance and θ is the angle south of east, which is 180 - 100.8167 = 79.1833 degrees.

Thus, S = 125 miles * sin(79.1833 degrees).

Using a calculator, we find S to be approximately 123.4 miles south.

Thanks for taking the time to read A boat sails for 5 hours at 25 mph on a bearing of tex 100 circ frac 49 60 tex How far south has it. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada