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Two groups of bikers leave the same camp heading in different directions. Each group travels 4 miles, then changes direction and travels 1.4 miles. Group A starts due east and then turns 48° toward north. Group B starts due west and then turns 32° toward south. Which group is farther from camp?

1. Group A is farther from camp.
2. Group B is farther from camp.
3. Group A and Group B are the same distance from camp.
4. Not enough information is given.

Sagot :

Group B is farther from camp.

ashishdwivedilVT

Group B is farther from camp in comparative to other Group A.

What is Direction Sense?

Direction sense ability is  to find one's way around easily in a new place a good/poor sense of direction.

Here, Distance travel together = 4 miles.

         After changing their direction distance covered by them = 1.4 miles.

       Group A turns 48⁰ towards north

    So, total distance covered by group A = 1.4 + 4 X sin 48⁰

                                                                    = 1.4 + 4 X 0.7341

                                                                    = 4.34 miles.

     Group B turns 32⁰ towards south.

Similarly, distance covered by group B = 1.4 + 4 X cos 32⁰

                                                                = 1.4 + 4 X 0.8480

                                                                = 4.79 miles.

Thus, Group B is farther from camp in comparative to other Group A.

Learn more about Direction sense from:

https://brainly.com/question/9238896

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