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 22.1meters/second northeast D 28.7meters/second east

To find the resultant velocity of the boat, we need to use the Pythagorean theorem since the boat's velocity relative to the water and the river's velocity form a right-angled triangle.<br /><br />The resultant velocity can be found using the formula:<br /><br />$v_{resultant} = \sqrt{v_{boat}^2 + v_{river}^2}$<br /><br />where $v_{boat}$ is the velocity of the boat with respect to the water, and $v_{river}$ is the velocity of the river.<br /><br />Plugging in the given values:<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 />$v_{resultant} \approx 22.1 \text{ meters/second}$<br /><br />Therefore, the correct answer is C. $22.1 \text{ meters/second}$ northeast.