Hi

tan 42° = opp/adj

let x be the height of the tree

tan 42° = x/60ft

60ft*tan42°  = x

54ft = x, the height of the tree

 

Answer by nyc_function(2741)   (Show Source): You can put this solution on YOUR website!
 To find the height of the tree, we use the tangent function from trigonometry.





The point which is 60 feet away from the base of the tree and the line of sight create a right triangle for us.





tangent = opposite side of triangle divided by the adjacent side of triangle.





Let h = height of tree





tan42 = h/60





tan42(60) = h





54.02424266 = h





To nearest foot, the tree is 54 feet.  

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