Question

Leonel is walking on a boat at a speed of \[4\,\dfrac{\text{km}}{\text{h}}\]. The boat's velocity is \[15\,\dfrac{\text{km}}{\text{h}}\] in a direction that is \[60\degree\] counterclockwise from the direction leonel is walking.

Answer 1

The question involves physics, specifically adding velocities, and requires calculating the resultant velocity when a person is moving on a boat that is also in motion at a given angle.

Step-by-step explanation:

When Leonel is walking on a boat, and the boat itself has a different velocity, we are dealing with a problem of adding velocities, which is a common concept in physics. To determine the resultant velocity of Leonel with respect to the ground, we need to vectorially add Leonel's velocity with the boat's velocity. The boat's velocity makes a 60-degree angle counterclockwise with Leonel's direction of walking. Therefore, we can use trigonometric functions or a vector diagram to find the magnitude and direction of Leonel's resultant velocity.

For example, if Leonel walks at 4 km/h on a boat that is traveling at 15 km/h at a 60-degree angle from his walking direction, we can use the cosine and sine of the angle to break down the boat's velocity into components and add them to Leonel's velocity to find the resultant.