Answer :

Lanier2021

Answer:

You need to draw this out! Start at the origin (0,0), go on a -45° heading into the 4th quadrant by a distance of 10. Using the trig functions (or special triangles); you will see 10 cos -45° is the x value and 10 sin -45° is the y value. (x1, y1) = (10/√2, - 10√2) ≅ (7.07, -7.07). From that point, go a distance of 15 at 60°. Use trig function again to find the next/last coordinate. The x value to add to the first coordinate would be + 15 cos 60°, and the y value to add to the first coordinate would be + 15 sin 60°); so (x2, y2) = (7.07°+ 15 cos 60 , -7.07 + 15 sin 60°) ≅ (7.07, -7.07) ≅ (14.57, 5.92)

Step-by-step explanation:

From the origin to that point is the resultant vector.

To calculate the direction from the origin (0,0) to (x2, y2) use trig functions. You need to solve for θ and you have the x and y (or the opposite and adjacent legs); so use Tan θ = 5.92/14.57, and take the inverse Tan of both to solve for θ, that's the direction. θ = 22°7'To calculate the magnitude, just use the distance formula (0,0) to (14.57, 5.92); I will presume you can do that part.

Other Questions