Question

The picture below shows a right triangle shaped charging stand for a gaming system.Which expression shows the length of side AB?

8 tan 60°

8 cosec 60°

8/cos60

8/sin60

Answer 1

since cos(60 degrees) = 8/y, then y = 8/cos(60 degrees) where y is the length of AB.

Answer 2

btw, this is a 30-60-90 triangle so the shortest side which is opposite the 30 degree angle is half the length of the hypotenuse. Therefore AB = 16

Answer 3

AB = 8/cos60