Question

# a point is located in a polar coordinate system by the coordinates r= 5.6 m and angle = 10 degrees. find the x and y coordinates of this point, assuming that the two coordinate systems have the same origin.

292

likes
1461 views

## Answer to a math question a point is located in a polar coordinate system by the coordinates r= 5.6 m and angle = 10 degrees. find the x and y coordinates of this point, assuming that the two coordinate systems have the same origin.

Cristian
4.7
To find the x and y coordinates of a point in a polar coordinate system, we can use the following formulas:

x = r \cos$\theta$
y = r \sin$\theta$

Given that the radius $r$ is 5.6 m and the angle $\theta$ is 10 degrees, we can substitute these values into the formulas to find the x and y coordinates:

x = 5.6 \cos$10^\circ$
y = 5.6 \sin$10^\circ$

Now we can calculate the x and y coordinates:

x\approx5.6\times0.9848\approx5.51\,\text{m}
y\approx5.6\times0.1736\approx0.97\text{m}

Therefore, the x-coordinate is approximately 5.51 m and the y-coordinate is approximately 0.97 m.

Answer: The x-coordinate is approximately 5.51 m and the y-coordinate is approximately 0.97 m.

Frequently asked questions $FAQs$
What is the derivative of f$x$ = 3x^5 + 4x^3 - 2x^2 + 6x - 1?
+
Math question: What is the value of log$base 3$ 9 + log$base 2$ 32?
+
Math question: Evaluate log$base 3$$81$ - log$base 3$$9$ using logarithmic properties.
+