The angle of elevation of the top of house from the bottom of a tower 160m high is 26 degree.From the top of the tower the angle of elevation is 24 degree.What is the height of the house if the tower and the house are 50m apart?

4 answers

Tan26 = h/50
h = 50*Tan26 = 24.4 m.
tan26/1=opp/adj=he/x
he=xtan26
tan24=he/50
he=50tan24
=50x0.445
=22.25
height of the house=he+he
=160+22.25
=182.25
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