Answer: 24.2° SouthWest
<u>Step-by-step explanation:</u>
First step: DRAW A PICTURE of the vectors from head to tail <em>(see image)</em>
I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.
<u>Perpendicular (x):</u>
cos 35° = adjacent/hypotenuse
cos 35° = x/160
→ x = 160 cos 35°
<u>Angle (θ):</u>
sin θ = opposite/hypotenuse
sin θ = x/320
sin θ = 160 cos 35°/320
θ = arcsin (160 cos 35°/320)
θ = 24.2°
Direction is down (south) and left (west)
Answer: 3a = (0, 1) 3b = (2, 1) 3c = (2.5, 1) 3d = (1.6, 1)
4a = (2, 3.5) 4b = (2, 3) 4c = (2, 5.375)
<u>Step-by-step explanation:</u>
The length of AB is 6 and is horizontal (affects the x-coordinate)
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The length of AB is 5 and is vertical (affects the y-coordinate)
Answer:
C
Step-by-step explanation:
6*12=72
12*8=96
10*12=120
8*6*2/2=48
72+48+96+120=336