Question

You walk in a straight line for 83m at an angle of 151∘ above the positive x axis. What is the x component of your displacement?

What is the y component of your displacement?

Answer 1

The x component of your displacement is -37.86m, and the y component of your displacement is 79.06m.

Step-by-step explanation:

To find the x component of the displacement, we need to determine the horizontal distance or the distance along the x-axis. We can use the formula:

cos(θ) = adjacent/hypotenuse

Given that the angle is 151° and the hypotenuse is 83m, we can substitute the values into the formula to find the x component:

cos(151°) = x/83m

x = 83m * cos(151°) = -37.86m

Therefore, the x component of your displacement is -37.86m

To find the y component of the displacement, we need to determine the vertical distance or the distance along the y-axis. We can use the formula:

sin(θ) = opposite/hypotenuse

Given that the angle is 151° and the hypotenuse is 83m, we can substitute the values into the formula to find the y component:

sin(151°) = y/83m

y = 83m * sin(151°) = 79.06m

Therefore, the y component of your displacement is 79.06m