The $x$ component of the velocity vector is $Vx=5\mathrm{.}27m\frac{i}{h}$

Make a North$-$South, East$-$West grid and fill in the components determined in questions $1$ and $2.$ Show your work, Include a diagram.

The magnitude of the resultant velocity is $v=10\mathrm{.}9m\frac{i}{h}$

The direction of the resultant vector is $0=30\mathrm{.}3$ degrees clockwise

We will now use the Pythagorean theorem to determine the magnitude of the resultant vector. The theorem states that: hypotenuse $?2=$ opposite $?2+$ adjacent $?2$

Therefore the sum of two right angle components can be determined as follows: hypotenuse $=\sqrt[\phantom{2}]{opp2+adj2}.$ Use this rule to determine magnitude of the sum of the South and East components. Show your work. Include a diagram.

Use tangent to determine the angle between the resultant answer an the South direction. Show your work. Include a diagram.

$6.$ Why is the bearing of the answer $(1)121$ and not $59\mathrm{.}5?$

Sine $-=\frac{\text{o}\text{p}\text{p}\text{o}\text{s}\text{i}\text{t}\text{e}}{\text{h}\text{y}\text{p}\text{o}\text{t}\text{e}\text{m}\text{i}\text{s}\text{e}}$

Cosine

$=\frac{\text{a}\text{d}\text{j}\text{a}\text{c}\text{e}\text{n}\text{l}}{\text{h}\text{y}\text{p}\text{o}\text{t}\text{e}\text{n}\text{u}\text{s}\text{e}}$

Tangent $-=\frac{\text{o}\text{p}\text{p}\text{o}\text{s}\text{i}\text{t}\text{e}}{\text{a}\text{d}\text{j}\text{a}\text{c}\text{e}\text{n}\text{t}}$

Determine the right angle components of a $4\mathrm{.}2$mil$\frac{e}{h}r$ vector that points $80$ degrees clockwise from North. Show your work. Include a diagram.

The $y$ component of the velocity vector is $Vy=0\mathrm{.}729m\frac{i}{h}$

The $x$ component of the velocity vector is $Vx=4\mathrm{.}14m\frac{i}{h}$

Determine the right angle components of an $8\mathrm{.}2m\frac{i}{h}r$ vector pointed $140$ degrees clockwise from North. Show your work. Include a diagram.

The $y$ component of the velocity vector is $Vy=-6\mathrm{.}28m\frac{i}{h}$

The $x$ component of the velocity vector is $Vx=5\mathrm{.}27m\frac{i}{h}$

Make a North$-$South, East$-$West grid and fill in the components determined in questions $1$ and $2.$ Show your work. Include a diagram.

The magnitude of the resultant velocity is $v=10\mathrm{.}9m\frac{i}{h}$

The direction of the resultant vector is $0=30\mathrm{.}3$ degrees clockwise

We will now use the Pythagorean theorem to determine the magnitude of the resultant vector. The theorem states that: hypotenuse $?2=$ opposite $?2+$ adjacent $?-$ Therefore the sum of two right angle components can be determined as follows:

hypotenuse $\sqrt[\phantom{2}]{OPP2+ad2}.$ Use this rule to determine magnitude of the sum of the South and East components. Show your work. Include a diagram.