What is the value of x?
2 answers:
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This is the good part of Trigonometry, actually measuring triangles. It's much better than all the identities around sine and cosine and the rest, which actually have more to do with circles than triangles.
This part of trig has a short menu:
Law of Cosines. Three ways to write it, one is
Law of Sines:
Triangle angles:
and two special cases of the Law of Cosines, the Pythagorean Theorem
and the Collinear Points Theorem:
Here we choose Triangle Angles followed by Law of Sines:
A = 180 - 105 -15 = 60 degrees
Answer: 1.8 cm
When I was a student we'd be expected to get exactly and get
But that was before online homework.
We want to determine the equation in point slope form for the line that is perpendicular to the given line and passing through the point (5.6) .
The equation and the point is;
We know that for two lines to be perpendicular, the product of their slopes should be -1.
Therefore, the slope of the perpendicular should be;
The second condition is that the line must pass through the point (5,6) , to do thid, we write the equation of the line in point slope form which is;
Inserting all values, we have,
That is the final answer.