Number 10 I need help
1 answer:
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Answer:
The distance of flag post from Y is 38.13 m
Step-by-step explanation:
Consider point Y at the intersection of both lines as shown below. Now the point X lies 34 meter from point Y in east direction.
Now flag pole at point X lies at a bearing of N18°W. That is at point X from north, flag post makes an angle of 18° towards west.
Similarly flag pole at point Y lies at a bearing of N40°E. That is at point Y from north, flag post makes an angle of 40° towards east.
Consider ∆ AXY as right angle triangle. Therefore measure of angle FXY is,
Consider ∆ BYX as right angle triangle. Therefore measure of angle FYX is,
Refer attachment 1.
From diagram consider the triangle FYX. To find the third angle that is ∠YFX can be calculated by using angle sum property of triangle.
∠YFX+∠FYX+∠FXY=180°
∠YFX+50°+72°=180°
∠YFX=58°
Refer attachment 2.
Now the distance FY can be calculated using sin rule as follows,
Substituting the values,
Simplifying first two terms,
Cross multiplying,
m
The answer is....................................................
The circle equation in polar coordinates is:
<h3>How to change the coordinates of the circle equation?</h3>
Here we have the circle equation:
First, we expand it to:
Now we can rewrite it as:
Remember that:
Replacing that, we get:
That is the equation in polar form.
Now, because we can discard the solution r = 0, we can divide both sides by r to get:
To simplify it.
If you want to learn more about polar coordinates:
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