Question

Two communication mask 2km apart and directly north and south of each other. Ubi 's home is 500 m from one and directly east. How far is the second from Ubi's home​

Answer 1

Answer: $2061.55\ m$

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

$\Rightarrow x^2=2000^2+500^2\\\Rightarrow x^2=4\times 10^6+25\times 10^4\\\Rightarrow x=2061.55\ m\ \text{or}\ 2.061\ km$