Answer: [tex]2061.55\ m[/tex]
Step-by-step explanation:
Given
The two communication mask are 2 km apart
Ubi's home is 500 m east of one of the mask
Suppose its distance from the other's is x
From the figure, we can write
[tex]\Rightarrow x^2=2000^2+500^2\\\Rightarrow x^2=4\times 10^6+25\times 10^4\\\Rightarrow x=2061.55\ m\ \text{or}\ 2.061\ km[/tex]
