The height of the top of the mountain is 50.67 feet
Jackson placing the mirror in front of him will result in relations that have equivalent ratios.
So, the equivalent ratios are represented as:
[tex]5\ ft : 40 \ ft= 6'4" : x[/tex]
Where x represents the height of the mountain
Cancel out the common units
[tex]5 : 40= 6'4" : x[/tex]
Express as fractions
[tex]\frac{5 }{ 40}= \frac{6'4" }{ x}[/tex]
Make x the subject
[tex]x = 6'4" \times \frac{40}{5}[/tex]
[tex]x = 6'4" \times 8[/tex]
Multiply
[tex]x = 48'\ 32"[/tex]
Convert the unit to feet
[tex]x = 48' + \frac{32}{12}'[/tex]
[tex]x = 48' + 2.67'[/tex]
[tex]x = 50.67'[/tex]
Hence, the height of the top of the mountain is 50.67 feet
Read more about equivalent ratios at:
https://brainly.com/question/2328454
