Answer:
Step-by-step explanation:
This triangle is already positioned to match trig functions (also known as circular functions).
Point A is origin, side AC (length x) is on X axis,
side CB (length y) is parallel to Y axis.
***** You just remember *****
cos is horizontal, on X axis,
sin is vertical, on Y axis.
To get from unit triangle with hypotenuse 1,
horizontal side cos(θ), vertical side sin(θ), you multiply all sides by same number, namely, the specified length of the hypotenuse.
***** that's all you need to know *****
Draw a unit circle centered at A, mark point Y at intersection of circle and AB, and drop a vertical line from Y crossing X axis at X.
Then radial segment AY is 1, AB is 10
horizontal segment AX is cos(32°), AC is 10AX
vertical segment XY is sin(32°), CB is 10XY.
So x = 10 cos(32°), y= 10 sin(32°).
