Chandelier / chain

Question

a chandelier hangs on a 48 foot chain from a high ceiling. If the chandelier is pulled aside so that the chain forms a 26.8° angle with its vertical position, how much is the chandelier raised vertically?

Answer 1

The 48 foot chain becomes the hypotenuse as the chain is pulled to the side. This application is limited by its drawing, but you have to do it yourself. As you pull the chain from a straight down drop to the side, you create the 26.8 degree angle away from the vertical , with the hypotenuse equal to the chain length and the new distance from the ceiling is adjacent to that angle. This is all very tricky as the key wording is that the the chain forms a 26.8 degree angle WITH its vertical position. So the chain length is adjacent to the angle.

The visual is the hardest part. From here we can say that cos(26.8) = x/48. x = 42.8.

This means the chandelier was raised by (48-42.8) = 5.2 feet.

Again, this is tricky without a diagram attached. To me the key identity is that they stated that the chain forms a 26.8 degree angle WITH its vertical position, which means the new length is adjacent to the angle.