Answer:
a)
1.25 m , 6.25 m
b)
1.04 m
Explanation:
[tex]h_{o}[/tex] = height of the object = h
[tex]h_{i}[/tex] = height of the image = - 5 h
[tex]d_{o}[/tex] = distance of the object from the mirror
[tex]d_{i}[/tex] = distance of the image from the mirror = [tex]d_{o} + 5[/tex]
a)
Using the equation
[tex]\frac{h_{i}}{h_{o}} = \frac{- d_{i}}{d_{o}}[/tex]
[tex]\frac{-Â 5 h}{h}} = \frac{- (d_{o} + 5)}{d_{o}}[/tex]
[tex]d_{o}[/tex] = 1.25 m
[tex]d_{i}[/tex] = [tex]1.25 + 5[/tex]
[tex]d_{i}[/tex] = 6.25 m
b)
using the mirror equation
[tex]\frac{1}{f} = \frac{1}{d_{o}} + \frac{1}{d_{i}}[/tex]
[tex]\frac{1}{f} = \frac{1}{1.25} + \frac{1}{6.25}[/tex]
[tex]f[/tex] = 1.04 m