Question

A river is 500 meters wide and has a current of 1 kilometer per hour. if tom can swim at a rate of 2 kilometers per hour at what angle to the shore should he swim if he wishes to cross the river to a point directly opposite bank

Answer 1

Answer:

$63.44^{0}$

Step-by-step explanation:

Tom's resultant speed is calculated as $\sqrt{1^{2}+2^{2} }$

= $\sqrt{5}$

The distance tom swim is the hypotenuse of the right angle triangle.

sin = opposite/hypotenuse = $\frac{1}{\sqrt{5} }$  = 1/5 = 0.2

arcsin (0.2) = $26.56^{0}$

upstream angle =

$90^{0} - 26.56^{0}$ =

$63.44^{0}$