Anna lives 2.5 miles to the east of her school, and Ben lives 2 miles to the west of the same school.
2 answers:
Answer:
Ben's house is at point -2.
Step-by-step explanation:
Anna lives 2.5 miles to the east.
And Ben lives 2 miles to the west.
Let 1 mile = 1 unit in x axis.
Where west is the negative axis and east is the positive axis. Also their school located at origin .i.e at x=0
From the attached figure we can see that Ben's house is at point -2.
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Answer:
Step-by-step explanation:
If you plot this angle in the coordinate plane, you will find yourself in the fourth quadrant with a referencew angle of 30. Constructing the triangle from that reference angle and using the Pythagorean triple for a 30-60-90 triangle, you get that the side adjacent to the reference angle is √3, the side opposite the reference angle is a -1, and the hypotenuse (which is NEVER negative!) is 2. The x and y coordinates of the terminal point result from the cos (related to the x coordinate) and the sin (related to the y coordinate). The cos of 30:
and the sin of 30:
so the coordinates of the terminal point on that angle are
You could also just go to your unit circle, find the angle 330 and look at the coordiantes they give you there for (cos, sin). But I'm a high school math teacher so I wanted you to know how to find this outside of the unti circle. Cuz what if you lost it!?