I need help with the question below. Please show workings.

Question : Given, which of the following could be values of x :
1.
2.
3.
4.
5.
6.
(tan 81°)

9514 1404 393

  4, 5, 6, maybe 2

Step-by-step explanation:

You're looking for values strictly between 6 and 7. In decimal, the number will have a leading digit of 6 and a non-zero decimal fraction.

1. √36 = 6 . . . out of range

2. 2πr ≈ 6.28r . . . value depends on r (presumed not in range)*

3. 14/2 = 7 . . . out of range

4. 1/0.15 ≈ 6.666...(repeating) . . . in range

5. 25/4 = 6.25 . . . in range

6. tan(81°) ≈ 6.31... . . . in range

* of course, 2π will be in range.