Two artillery

Objective C we observe from two artillery observatories, A and B, which are 975 m apart. The size of the BAC angle is 63°, and the size of ABC is 48°. Calculate the distance of points A and C.

Correct answer:

AC =  776.1155 m

Step-by-step explanation:

AB=975 m BAC=63  ABC=48  ACB=180BACABC=1806348=69   sin ABC : sin ACB = AC : AB  AC=AB sinACBsinABC=AB sin69° sin48° =975 sin69° sin48° =975 0.933580.743145=776.115=776.1155 m

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You need to know the following knowledge to solve this word math problem:

planimetricsbasic operations and conceptsgoniometry and trigonometryUnits of physical quantitiesGrade of the word problem

 
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