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In WXY, y=690 cm, w=440 cm and angle X=163°. Find angle W to the nearest degree

The angle W is approximately 7°.

Step-by-step explanation:

Since angle X is adjacent to sides y and w and opposite to side x, we calculate the length of side x by Law of the Cosine:

(1)

Where:

- Side lengths, in centimeters.

- Angle, in sexagesimal degrees.

If we know that , and , then the length of the side x is:

By Geometry we know that sum of internal angles in a triangle equals 180°. If X is an obtuse, then Y and W are both acute angles. By Law of the Sine we find angle W:

(2)

If we know that , and , then the angle W is:

Hence, the angle W is approximately 7°.

answer: 230 miles ( vote ! )

step-by-step explanation:

180.39 minus 17.99 equals 162.4

then divide 162.4 by .80 to get 230

if you was gonna solve for a, a is a   < -12