Question

Very confused on how to approach??? pls helpppp

Answer 1

The height of the wall is 52.2 feet.

Explanation:

Given:

From the figure shown, HT is the height of Carlos, 'V' is the position of mirror.

So, TV = 4 ft, VS = 36 ft, HT = 5.8 ft.

Let the height of the wall be 'x'. So, JS = 'x'

Now, consider the two triangles HTV and JVS

Statements Reasons

1. ∠ HTV ≅ ∠ JSV Right angles are congruent

2. ∠ HVT ≅ ∠ JVS Given in the figure

Therefore, ΔHTV and Δ JVS are similar triangles by AA postulate.

Now, from definition of similar triangles, corresponding sides of two similar triangles are in proportion to each other. Therefore,

`(HT)/(JS)=(TV)/(VS)=(HV)/(JV)`

Considering the first two pair of fractions, we have:

`(5.8)/(x)=(4)/(36)\\\\36* 5.8=4* x\\\\x=(36* 5.8)/(4)\\\\x=9* 5.8=52.2\ ft`

Therefore, the height of the wall is 52.2 feet.