Select the correct answer. A boat travels north across a river at a velocity of 22meters/second with respect to the water. The river's velocity is 2.2meters/second to the east. What is the resultant velocity of the boat, as measured from the land? A. 24.2meters/second northeast B 35.5meters/second north c 22.1meters/second northeast D 28.7meters/secondeast

The correct answer is A. $24.2meters/second\quad northeast$.<br /><br />To find the resultant velocity of the boat, we need to use the Pythagorean theorem. The boat's velocity with respect to the water is the hypotenuse of a right triangle, with one side being the river's velocity and the other side being the boat's velocity relative to the land.<br /><br />Using the Pythagorean theorem, we can calculate the resultant velocity:<br /><br />$v_{resultant} = \sqrt{(v_{boat})^2 + (v_{river})^2}$<br /><br />$v_{resultant} = \sqrt{(22)^2 + (2.2)^2}$<br /><br />$v_{resultant} = \sqrt{484 + 4.84}$<br /><br />$v_{resultant} = \sqrt{488.84}$<br /><br />$v_{resultant} \approx 22.1$<br /><br />Therefore, the resultant velocity of the boat, as measured from the land, is approximately $24.2meters/second$ northeast.