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 <em>x</em><em>°</em> 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.
Similarly consider the ΔCDE.
Therefore,
Hence, the height of the house is 30 feet.