Question

A boy 1.4m tall standing at the edge of a river bank sees the top of a tree on the edge of the other bank at an elevation of 55o standing back by 3m he sees it an elevation of 45o.draw figure how wide is the river and how tall is the tree

Answer 1

Width of river = 7 m & Height of Tree = 11.4 m

Step-by-step explanation:

T = height of tree in m

W = width of river

Tan 45°   =  ( T - 1.4) /(W + 3)

=> 1 =  ( T - 1.4) /(W + 3)

=> T - 1.4 =  W + 3

=> T = W + 4.4

Tan 55 =  (T - 1.4) / ( W)

=> 1.428 = (W + 3)/W

=> 1.428W = W + 3

=> 0.428W = 3

=> W = 7

Width of river = 7 m

T = W + 4.4 = 7 + 4.4 = 11.4 m

Height of Tree = 11.4 m

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