2. Determine the value of x. Assume the segments that appear tangent are tangent (input numerical answer only, if necessary round to one
decimal place)

x = 16.8

Step-by-step explanation:

To get the value of x, we use Pythagoras’ theorem since what we have is a right angled triangle

Mathematically, we have it that;

the square of the hypotenuse (21) equals the sum of the squares of the two other sides

21^2 = 12.6^2 + x^2

x^2 = 21^2 - 12.6^2

x^2 = 282.24

x = √282.24)

x = 16.8

the furthest the dog can be is 508 meters away from the house, and the closest he can be is 492 meters away from the house.