Question

Mrs. kelly is teaching a Sth grade class. She is standing 5 meters in front of Ellen Tanner is sitting toEllen's right. If Tanner and Mrs. Kelly are 6 meters apart, how far apart are Ellen and Tanner? Innecessary, round to the nearest tenth.meters

Answer 1

Step-by-step explanation

To answer this, we will first sketch the image of the scenario

Let the distance between Ellen and Tanner be x

The Pythagoras Theorem is used for right angled triangle, that is, triangles that have one of their angles equal to 90 degrees.

The side of the triangle that is directly opposite the right angle or 90 degrees is called the hypotenuse. It is normally the longest side of the right angle triangle.

The Pythagoras theorem thus states that the sum of the squares of each of the respective other sides of a right angled triangle is equal to the square of the hypotenuse. In mathematical terms, if the two other sides are a and b respectively,

a² + b² = (hyp)²

For this question

a = 5

b = x = ?

hyp = 6

a² + x² = (hyp)²

5² + x² = 6²

25 + x² = 36

x² = 36 - 25

x² = 11

Take the square root of both sides

√(x²) = √(11)

x = 3.3 meters

Hope this Helps!!!