The sail of a boat is in the shape of a right triangle, as shown below.
which expression shows the height, in meters, of the sail?
a. 2 sin 40°
b. 2 cosec 40°
c. 2/cot 40 degrees
d. 2/sec 40 degrees

In this right triangle  you know an angle and the adjacent leg, and need to find the opposite leg.

the formula that relates those three variables is:

tan(40°) = opposite leg / adjacent leg = height / 2 m

or, which is equivalent,  cot (40°) = adjacent leg / opposite leg = 2m / height

=> height = 2m / cot (40°).
which is the option c of the list.