Question

You want to see how your new belt buckle matches your new hat. Your eyes are 114 mm below the top of the hat and 800 mm above the buckle. You walk up to your mirror and notice that the mirror is exactly large enough and exactly in the right position for you see both the top of the hat and the buckle.
1. What is the position of the top edge of the mirror relative to your eyes?2. How tall is the mirror?

Answer 1

Answer:

$x=0.057m$

$h=0.457m$

Explanation:

From the question we are told that

Distance of eyes from the top of hat $d_1=114mm$

Distance of eyes from buckle  $d_2=800mm$

Generally position of mirror relative eyes x is mathematically given as

$x=\frac{114}{2}$

$x=57mm$

$x=0.057m$

Generally the height of the mirror h is mathematically given as

$h=\frac{(Buckle\ below\ the\ hat)+(Buckle\ below\ the\ hat)}{2}$

$h=\frac{(114)+(800)}{2}$

$h=457mm$

$h=0.457m$