Step 1: Identify the risk in this patient.
The friend has high myopia, with corrections of -6.0 D and -8.0 D. Highly myopic eyes are longer than normal and have a thinner, more stretched retina, which puts them at much higher risk of retinal tears and retinal detachment.
Step 2: Read the new symptoms as warning signs.
New floaters (the opacities floating in front of his eyes) along with a drop in vision over a few days are classic early symptoms of a posterior vitreous detachment that has pulled on the retina, possibly causing a retinal tear or an early detachment. In a high myope, these symptoms must be treated as an emergency until proven otherwise.
Step 3: Decide what examination is needed.
Retinal tears and early detachments usually start in the far periphery of the retina, an area that needs a wide field of view and some scleral depression to see properly. Indirect ophthalmoscopy, done with a headset and a condensing lens, gives this wide, stereoscopic view of the entire peripheral retina, so it is the correct examination to look for a tear or detachment.
Step 4: Rule out the other options.
Simply reassuring the patient risks missing a retinal tear that could progress to a full detachment and permanent vision loss. Refraction and a new spectacle only address the focusing power of the eye and would not detect a retinal problem, so it is not an appropriate first response to these symptoms. Direct ophthalmoscopy gives a narrow, high magnification view that mainly shows the back of the eye and cannot examine the far peripheral retina well, so it is not adequate here.
Step 5: Final Answer.
Indirect ophthalmoscopy is done to fully examine the peripheral retina for a tear or detachment.
\[ \boxed{\text{Indirect ophthalmoscopy}} \]