The Masthead light, aka 'steaming light', covers 225 degrees (20 pts), from straight ahead to 22.5 deg. abaft the beam on either side, with minimum of 2 miles visibility for a boat the size of these Macs. Same angle of coverage as the sidelights, which is a single bicolor unit on the bow of most Macs. White stern light covers the other 135 degrees.
An anchor light is an all-round white light of 2 miles visibility or more. Most sailboats have it at the top of the mast (not to be confused with the 'masthead light', which is the proper term for the 'steaming light', per the COLREGS), but many prefer to hang one from the forestay or flag halyard, or wherever it's most visible. I have a long stick light that plugs into a socket at the stern that I use when I don't have a mast, but have a light at the top of the mast, too.
LEDs are especially good for anchor lights, as already mention, due to their sipping of battery energy vs incandescent.
COLREGS -INTERNATIONAL- Lights and Shapes (-INLAND- section is identical)
RULE 30
Anchored Vessels and Vessels Aground
(a) A vessel at anchor shall exhibit where it can best be seen:
(i) in the fore part, an all-round white light or one ball;
(ii) at or near the stern and at a lower level than the light prescribed in
subparagraph (i), an all-round white light.
(b) A vessel of less than 50 meters in length may exhibit an all-round white
light where it can best be seen instead of the lights prescribed in paragraph
(a) of this Rule.
(c) A vessel at anchor may, and a vessel of 100 meters and more in length
shall, also use the available working or equivalent lights to illuminate her
decks.
As far as the angle an all-round white anchor light must cover, there is allowance for the mast blocking some portion. Whether you consider that acceptable is up to you, of course, but the COLREGS allow for up to 6 degrees of arc to be blocked.
9. Horizontal sectors
(b)
(i) All-round lights shall be so located as not to be obscured by masts,
topmasts or structures within angular sectors of more than 6
degrees, except anchor lights prescribed in Rule 30, which need
not be placed at an impracticable height above the hull.
(ii) If it is impracticable to comply with paragraph (b)(i) of this section
by exhibiting only one all-round light, two all-round lights shall be
used suitably positioned or screened so that they appear, as far as
practicable, as one light at a distance of one mile.”