Answer:
The angle is 65.6°.
Explanation:
Given that,
Speed = 2.20 m/s
Distance from the shore= 500 m
Distance from the bottom= 1100 m
Speed of boat = 7.30 m/s
According to figure,
We need to calculate the angle with shore
Using formula of angle
[tex]\tan\theta=\dfrac{y}{x}[/tex]
Put the value into the formula
[tex]\tan\theta=\dfrac{500}{1100}[/tex]
[tex]\theta=\tan^{-1}(\dfrac{500}{1100})[/tex]
[tex]\theta=24.4^{\circ}[/tex]
We need to calculate the angle
[tex]\alpha=90-\theta[/tex]
Put the value into the formula
[tex]\alpha=90-24.4[/tex]
[tex]\alpha=65.6^{\circ}[/tex]
Hence, The angle is 65.6°.