Hello, Nath!

Did you make a sketch??

Two vectors have magnitudes of 10 and 15.

The angle between them when they are drawn with their tails at the same point is 65°.

The component of the longer vector along the line perpendicular to the shorter vector is:

. . a) 0 . . b) 4.2 . . c) 9.1 . . d) 13.6 . . e) 6.3Code:* *| 15 * | * | x * | *65° | *-----*------* : - - 10 - - :

And we can see that: .sin65° = x/15

Therefore: .x = 15·sin65° ≈ 13.6