Question

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.

Answer 1

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