HEL

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°.

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign