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7 votes
Ava is attending a school orchestra

concert. She sees her math teacher
seated 5 feet ahead of her and her
science teacher seated 12 feet to her
right. How far apart are the two
teachers? If necessary, round your
answer to the nearest tenth.

1 Answer

5 votes

Answer:

The two teachers are 13 feet apart

Explanation:

Right Triangles

Ava, her math teacher, and her science teacher form a right triangle in which she is at the 90° vertex.

The distances from the three people must satisfy the Pythagora's theorem, where the distance between the two teachers (D) is the hypotenuse, thus:


D=√(5^2+12^2)


D=√(25+144)


D=√(169)

D = 13 feet

The two teachers are 13 feet apart

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