a motorist starts from O nd moves in a direction 030° for 36km.he then moves 7km towards the west .how far east his he now from
O
1 answer:
Answer:
11 km
Step-by-step explanation:
Assuming your "direction 030°" is a bearing measured clockwise from north, the amount the motorist moved east on the first leg of the journey was ...
(36 km)sin(30°) = 18 km
From that point, moving 7 km west makes his easterly position ...
18 km -7 km = 11 km . . . . east of O
_____
The sine of an angle is the ratio of the side opposite to the hypotenuse. You can find the length of the side opposite (the easterly motion) by multiplying the sine of the bearing angle by the distance of travel. A diagram can help.
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Answer:
Step-by-step explanation:
Step 1: Pythagoras Theorem
Pythagoras theorem relates the three sides of the triangle in such a way that the sum of the square of base and perpendicular is equal to hypotenuse, such as:
Step 2: Trigonometric Functions
Only for a right angle triangle following three trigonometric relations are valid
Step 3: Verifying all the possible answers
A: Since, LN = x and using
we can calculate
therefore, NM = x (true)
B: As NM = x therefore it can not be equal to .
C: Using Pythagoras Theorem
It can also be proved using trigonometric relation
As,
Therefore
D and E:
Using same approach similar to part A
Since, LN = x and NM = x
we can calculate
Therefore, and not equal to
