## koli123able 3 years ago Triangle Solution:- Two hikers start from the same point ; one walks 9 km heading east, the other one 10 km heading 55 degrees north-east. How far apart are they at the end of their walks? . . ANSWER = 5.79 km

1. koli123able

how to do it

2. ludwig457

what is the rate?

3. koli123able

sorry i wrote it wrong

4. koli123able

Two hikers start from the same point ; one walks 9 km heading east, the other one 10 km heading 55 degrees north-east. How far apart are they at the end of their walks?

5. ludwig457

sec

6. Aperogalics

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7. Aperogalics

|dw:1352708788099:dw|

8. Aperogalics

@koli123able as theta is 55 degree 2 sides are given 3rd side can be found:)

9. ludwig457

law of sines @Aperogalics ?

10. Aperogalics

Yup but it is law of Cosines:) @ludwig457

11. ludwig457

oic thanks i havent been over that yet hehe

12. koli123able

i solved it by myself but the answer is coming wrong...it s coming 8.81 km however it is 5.79 km

13. Aperogalics

let me solve....wait:)

14. koli123able

ok

15. ludwig457

good question @koli123able

16. Aperogalics

sry but my answer comes 5.79:) let me show it

17. koli123able

ok

18. koli123able

how??

19. Aperogalics

c^2=a^2+b^2-2ab cos c c^2=10^2+9^2-2*10*9* cos35 c^2=181-180*0.8191 c^2=33.5526 c=5.792:)

20. Aperogalics

@koli123able

21. koli123able

how did 35 degrees come..it was not in the question

22. koli123able

is there any formula for calculating c

23. Aperogalics

@koli123able actually the angle 55 is given North-East ,in direction angle is measured only from North and South directions only:)

24. Aperogalics

so 90-55=35:)

25. koli123able

okay