Which compass bearing is the same as a true bearing of 110?
A - HSC - SSCE Mathematics Standard - Question 4 - 2019 - Paper 1
Question 4
Which compass bearing is the same as a true bearing of 110?
A. S20°E
B. S20°W
C. S70°E
D. S70°W
Worked Solution & Example Answer:Which compass bearing is the same as a true bearing of 110?
A - HSC - SSCE Mathematics Standard - Question 4 - 2019 - Paper 1
Step 1
Identify the true bearing
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Answer
The true bearing given is 110 degrees.
Step 2
Convert true bearing to compass bearing
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Answer
To convert a true bearing of 110 degrees into compass bearing, we need to identify the angle in relation to the cardinal directions.
Since 110 degrees is more than 90 but less than 180 degrees, it is to the southeast. To determine the compass bearing:
Subtract 90 degrees from 110 degrees to find the angle with respect to south:
110−90=20
Therefore, the compass bearing is S20°E.
Step 3
Choose the correct answer
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Answer
The correct compass bearing that corresponds to a true bearing of 110 degrees is S20°E, which matches option A.
