The classroom to the church is 171.32 m.
A bearing is the angle between the direction of the object and another object.
It is given that
the church building is 300m due east of the assembly hall. a classroom is 200m on a bearing of 123 from the assembly hall
The distance can be calculated by the cosine formula
The formula for cosine is
b² = c² +a²-2ac CosB
d² = 300² + 200² - 2*300*200 cos33°
d² = 29320
d = 171.32 m
The classroom to the church is 171.32 m.
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