A chandelier is suspended from the ceiling by two chains. One chain is 46cm long and forms a 60° angle with the ceiling. The other chain is 64cm long. What angle does the longer chain make with the ceiling?
I have to use sine law, but I don't know how.
The 46cm chain forms the hypotenuse of a right triangle.....the height from the ceiling to the bottom of this chain can be found as
sin 60 = h / 46
46 * sin 60 = h ≈ 39.84 cm
The longer chain will hang at the same distance from the ceiling....to find the angle it makes with the ceiling we can use the inverse sine ( arcsin)
arcsin ( 39.84 / 64) ≈ 38.5°