The rectangular representation of the polar point of (4 , 300) is (2,- 2√3)
According to the statement
we have given a coordinates of the rectangle and we have to find the polar coordinates.
So, For this purpose, we know that the
We Use the conversion formulas to convert from polar coordinates to rectangular coordinates which are
x = rcosθ
y = rsinθ
Substitute the given values in it then
x=(4)cos(300)
y=(4)sin(300)
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
x=(4)cos(60) -(1)
y= - (4)sin(60) -(2)
And then
x=(4)cos(60)
x=(4)(1/2)
x = 2 -(3)
and
y= - (4)sin(60)
y= - (4)(√3/2)
y= - 2√3 -(4)
Replace (3) with (1) and (4) with (2)
then it becomes
x = 2 and y= - 2√3
The rectangular representation of the polar point of (4 , 300) is (2,- 2√3)
Learn more about polar coordinates here
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Answer:
6 miles
Step-by-step explanation:
The distance formula is expressed as;
D = √(x2-x1)²+(y2-y1)²
D = √(2-4)²+(8-2)²
D = √(-2)²+(6)²
D = √4 + 36
AD = √40
AD = 6.32
Hence the approximate distance between the library and the mall is 6 miles
X + x - 1 + 43 = 180. Solve for x. 2x +42 = 180 and 2x = 138. Therefore, x = 69. If x = 69, then angle H is 68 and angle G is 69. 68 + 69 + 43 = 180.
