wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A sailboat sails 5 km east, 3 2 km northeast and then an additional 35 km distance in an unknown direction. Its final position is 2 km directly east of the starting point. If the direction of the third part of the journey is at an angle tan1(n) ( < 90o)with north, find n.

A
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 2
In the first part of the journey, the sailboat travels a distance of 5 in the east direction.
In the second part of the journey, it travels 32 in the northeast direction, i.e. 3 kilometers each in north and east direction.
Thus the distance traveled so far is 8 kilometers in east direction and 3 kilometers in the north direction.
In the third part of the journey, it travels a distance of 35 km in an unknown direction, but at the end, it reaches a spot such that is 2 km to the east of the starting point.
The boat travels 3 kilometers south and 6 kilometers west.
Constructing a triangle with sides 3, 32, 35
Hence the angle which it makes with north direction tan1(2).
n=2

688926_116531_ans_7c8d1940406a4c488667df3ff5a60165.png

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Variation of Pressure in Fluids
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon