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1 answer:
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Answer:
2√3
Step-by-step explanation:
You recognize this as a 30°-60°-90° triangle, so you know the hypotenuse (R) is twice the length of the shortest side (√3).
The magnitude of R is 2√3.
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In case you haven't memorized the ratios for a 30°-60°-90° triangle, you can use trigonometry and the fact that ...
Sin = Opposite/Hypotenuse
sin(30°) = √3/R
R = √3/sin(30°) = √3/(1/2) = 2√3
Of course, doing this on your calculator will give a numerical answer, which you may not want.
Answer: You start to ascend
Explanation:
Since you are walking due south and the positive y-axis points north, the y-coordinate decreases.
Let
= y-coordinate after walking due south
= z-coordinate (or the height) after walking due south
So, the point where you stand after walking due south has a coordinate of
. Moreover,
Since the y-coordinate decreases after walking due south and
,
So, the height after walking due south exceeds 1,206 meters, which is the previous height before walking due south. Therefore, if you walk due south from point with coordinates (100, 120, 1206), you are ascending.
Explanation:
Since you are walking due south and the positive y-axis points north, the y-coordinate decreases.
Let
So, the point where you stand after walking due south has a coordinate of
Since the y-coordinate decreases after walking due south and
So, the height after walking due south exceeds 1,206 meters, which is the previous height before walking due south. Therefore, if you walk due south from point with coordinates (100, 120, 1206), you are ascending.