How should I do this question that is in the image below?44

enter image source here

1 Answer
CW
Jan 27, 2018

#BC~~5.977# m

Explanation:

enter image source here
Let #AB=x, AC=y, and D# be the top of the tower, as shown in the figure.
see View 1, #tan17=x/37, => x=37tan17~~11.312# m
see View 2, #tan12=y/37, => y=37tan12~~7.865# m
see Top View, use the law of cosines to find length #BC#,
#=> BC^2=x^2+y^2-2xycosangleBAC#,
#=> BC^2=11.312^2+7.865^2-2xx11.312xx7.865xxcos30#,
#=> BC^2~~35.721#,
#=> BC~~5.977 # m

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