Question

A person moving towards to east and cover to the 10m distance. Take turn to the left side with 135° and cover 10m distance. again turn to the left side with 90° and cover 10m distance and stop there find the distance of person from starting point ​

Answer 1

Answer:

4.1421m

Step-by-step explanation:

Answer 2

Answer: The person is 4.1 m away from the starting point.

The person is x m away from the starting point.

A person moving towards to east and cover to the 10m distance. Take a turn to the left side at 135° and cover a 10m distance. again turn to the left side at 90° and cover a 10m distance,

As per the information provided above, A person makes a right angle that has a base of 10 m, a height of 10 m, and a hypotenuse of (x + 10) m.

Finally, the distance of the person from the starting point (0,0) can be found using the Pythagorean theorem:

                            (x + 10)^2 = 10^2 + 10^2

                            (10+x)^2 = 200

Taking the square root of both sides, we get:

                         10 + x = ±√200

So,

                      x = ±√200 - 10 = ±14.14 - 10 = ±4.14

Therefore, x can be either 4.14 or -4.14.

Hence,  

           The person is 4.14 m away from the starting point.

learn more about Right angle triangles here

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learn more about the Pythagorean theorem here

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