Question

Three people are sitting on a bus. Bridget is directly behind Sophia and directly left of Alan. If Sophia and Bridget are 3 feet apart, and Alan and Sophia are 9 feet apart, what is the distance between Bridget and Alan? If necessary, round to the nearest tenth.

Answer 1

2.6 meters

Step-by-step explanation: That the most unnecessary math ever, thank you to who ever decided to come up with the Pythagorean theorem.

The type of person to write the name on scratch paper...

:)

Answer 2

The distance between Bridget and Alan is 9.48 ft

Explanation:

kindly find attached a rough sketch of their sitting position which forms a right triangle

We can proceed by using Pythagoras therm to solve for the distance between Bridget and Alan which is the hypotenuse

`C^= A^2+B^2\\\\C= √(A^2+B^2)`

From the problem statement

A, which is the opposite is = 3 ft

B, which is the adjacent = 9 ft

C, is the hypotenuse= ?

Substituting into the expression we have

`C= √(3^2+9^2) \\\\C= √(9+81)\\\\C= √(90)\\\\ C= 9.48 ft`

To the nearest tenth the distance is 9.48 ft