The shadow 2

The shadow of a tower standing on a level ground is found to be 40 m longer when the Sun’s altitude is 30° than when it is 60°. Find the height of the tower.

Correct answer:

h =  34.641 m

Step-by-step explanation:

α=30  β=60   s=40 m  tan β = h:x tan α = h:(x+s)  t1=tanα=tan30° =0.57735 t2=tanβ=tan60° =1.732051=1.73205  t2 = h:x t1 = h:(x+s)  t2 x = h t1(x+s) = h  t2 x=t1(x+s) 1.7320508075689 x=0.57735026918963(x+40)  1.7320508075689 x=0.57735026918963 (x+40)  1.154701x=23.094011  x=1.1547005423.09401077=20  x=20  h=t2 x=1.7321 20=20 3=34.641 m



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