147k views
1 vote
Find the x-component of this

vector:
42.2°
101 m
Remember, angles are measured from
the +x axis.
x-component (m)

User Eisbaw
by
8.4k points

2 Answers

2 votes

Answer: -8.05

Step-by-step explanation:

User Barakbd
by
8.5k points
6 votes

Answer:

The x-component of the vector is approximately 75.2231 meters.

Step-by-step explanation:

To find the x-component of the vector with an angle of 42.2 degrees and a magnitude of 101 meters, you can use trigonometry. The x-component of the vector is the projection of the vector onto the x-axis.

The x-component can be calculated using the formula:

x-component = magnitude * cos(angle)

where magnitude is the length of the vector and angle is the angle measured from the positive x-axis.

Given the magnitude (101 m) and the angle (42.2°), we can plug these values into the formula and calculate the x-component:

x-component = 101 m * cos(42.2°)

Using a calculator, we get:

x-component ≈ 101 m * 0.7431

x-component ≈ 75.2231 m

So, the x-component of the vector is approximately 75.2231 meters.

User Jordan Reiter
by
8.4k points