Question #d7e2f

1 Answer
Jan 21, 2018

#h=107.78# m

Explanation:

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In #DeltaSBC, SC=(BC)/tan26=h/tan26 ----- Eq(1)#
In #DeltaSTC, SC=(TC)/tan31=(25+h)/tan31-----Eq(2)#
#Eq(1)=Eq(2), => h/tan26=(25+h)/tan31#
#=> htan31=(25+h)tan26#,
#=> htan31=25tan26+htan26#
#=> h(tan31-tan26)=25tan26#
#=> h=(25tan26)/(tan31-tan26)~~107.78# m