Question

HELPP PPLEASEEE!!!

Answer 1

Answer:

See below in bold.

Step-by-step explanation:

Ship's vector:

Horizontal component = 30 cos 30  = 25.98.

Vertical component = 30 sin(-30) = -15.

So it is <25.98, -15).

The current's vector:

Horizontal component =  5 sin 20 = 1.71.

Vertical component = 5 cos 20 = 4.7.

So it is <1.71, 4.7>.

Answer 2

Answer:

Step-by-step explanation:

Resultant R of the two vectors is

$R^2=a^2+b^2+2abcos\theta$

$R^2=30^2+5^2+2\left ( 30\right )\left ( 5\right )cos\theta$

Where $\theta$is the angle between Two vectors which is 100^{\circ}[/tex]

$R^2=900+25+2\times 30\times 5\times cos100$

$R^2=925-52.094$

R=29.544 miles per hour

and it makes an angle $\phi$with 30 miles/hr vector

$tan\phi =\frac{5}{30}$

$\phi =tan^{-1}\frac{1}{6}$

$\phi =9.462^{\circ}$

i.e.it makes an angle of 20.538 South of east with horizontal