Question

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. Based on this information, the person's height is ______.

A) 1/2 the height of the building

B) 2/3 the height of the building

C) 3/4 the height of the building

Answer 1

A is the correct answer, I believe



good luck

Answer 2

Option A - 1/2 the height of the building

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,

`(D)/(A)=(C)/(B)`

`(x)/(16)=(12)/(32)`

Cross multiply,

`x=(12* 16)/(32)`

`x=6`

Therefore, The person height is 6 feet i.e, half of the building height.

So, Option A is correct.