Type the next three numbers in the sequence. 48, 55, 46, 53, 44, 51, 42, 49,

40, 47, 38

Step-by-step explanation:

48 + 7 = 55

55 - 9 = 46

46 + 7 = 53

53 - 9 = 44

And so on... In repeat

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.