Answer:
Option A - 1/2 the height of the building
Step-by-step explanation:
Given : A person stands 16 feet from a mirror and sees the top of a 12 foot building. The mirror is 32 feet from the building.
To find : The person's height is ?
Solution :
Let the height of the person be x foot.
Both the person and the building are standing vertical to the ground which means they make a similar right angle triangle,
We have given,
Distance of person from mirror A= 16 feet.
Distance of mirror from building B= 32 feet.
Building height C = 12 foot.
Person height D=x foot.
Applying the similar triangle proportionality,
[tex]\frac{D}{A}=\frac{C}{B}[/tex]
[tex]\frac{x}{16}=\frac{12}{32}[/tex]
Cross multiply,
[tex]x=\frac{12\times 16}{32}[/tex]
[tex]x=6[/tex]
Therefore, The person height is 6 feet i.e, half of the building height.
So, Option A is correct.
