Two hikers start from the same point; one walks 9km heading east, the other one 10 km heading 55degrees north east. How far apart are they at the end of their walks? *do I have to subtract 55 from 90 here?

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Answer 1 · 2017-12-24T12:35:13

The two hikers at the end of their walks are # 5.80 # km apart.

The hiker heading #9# km eastwards reaches point A.

The co ordinate of point #A# is # (9,0)#

The other hiker heading #10# km #55^0# north east reaches

point # B# at an angle of # /_(90-55)=/_35^0# to the positive

x axis. The co ordinate of point #B# is # (10cos35,10sin35)# or

#(8.19,5.74)# .Distance between two points

#D= sqrt ((x_1-x_2)^2+(y_1-y_2)^2#

# :.AB= sqrt((9-8.19)^2+(0-5.74)^2) #

# :.AB ~~5.80 # km . The two hikers at the end of their walks

are # 5.80 # km apart [Ans]