Answer:
The movie theater is 3 miles away from the the ice cream parlor.
Step-by-step explanation:
The position of Becky's school (S) and the movie theater (M)and the ice cream parlor (I) make a right triangle.
Hence, Δ SMI is a right triangle with ∠ M is the right angle i.e. 90°.
Now, given length of segment SM is 4 miles and the hypotenuse i.e. line segment SI = 5 miles.
Hence, applying Pythagoras Theorem,
SI² = SM² + MI²
⇒ 5² = 4² + MI²
⇒ MI = 3 miles.
Therefore, the movie theater is 3 miles away from the ice cream parlor. (Answer)
