Question

(GIVING 47 POINTS TO WHOEVER HELPS ME WITH THIS QUESTION).

Answer 1

Answer:

The height of the house is 30 feet.

Step-by-step explanation:

Consider the provided information.

The height of Paul is 6 feet and the distance between mirror and Paul is 5 feet.

let the angles between the Paul's eyes and mirror is x° which is also equal to the angle between house and mirror.

Consider the figure 1:

Now use the trigonometric identity to find the value of x:

Consider the ΔABC.

$tan(x)=\frac{AB}{BC}$

$tan(x)=\frac{6}{5}$

Similarly consider the ΔCDE.

$tan(x)=\frac{ED}{CD}$

$tan(x)=\frac{y}{25}$

Therefore,

$\frac{6}{5}=\frac{y}{25}$

$\frac{6}{5}\times{25}=y$

$}y=30$

Hence, the height of the house is 30 feet.

Answer 2

since the angles is congruent, then tangent value is also equals.

Paul's eye/Paul to mirror = height of house/house to mirror

6/5 = h/25

h = height of house = 30 feet above the ground