Sheena can roll a boat at 3.30 miles an hour and Stillwater she needs to cross the river that is 1.20 mi wide with a current flow of flow at 1.60 mi/h an hour not having her calculator ready she guess it says she can go straight across she should head up strain at angle of 25.0° from the direction straight across the river what is her speed with respect to the standing point on the bank?

First, we can find the horizontal component of Sheena's velocity. Sheena's speed in still water is 3.30 miles per hour, and the current is flowing at 1.60 miles per hour. So, the horizontal component of her velocity is 3.30 miles per hour.

Next, we can find the vertical component of Sheena's velocity. Sheena is heading upstream at an angle of 25.0° from the direction straight across the river. To find the vertical component, we can use trigonometry. The vertical component is given by 3.30 miles per hour multiplied by the sine of 25.0°.

Now, we can find Sheena's speed with respect to the standing point on the bank by using the Pythagorean theorem. We square the horizontal component, square the vertical component, and then take the square root of their sum.

Calculating the values, the horizontal component is approximately 3.30 miles per hour, the vertical component is approximately 1.40 miles per hour, and the speed with respect to the standing point on the bank is approximately 3.64 miles per hour.

So, Sheena's speed with respect to the standing point on the bank is approximately 3.64 miles per hour.