at 2 pm the shadow of a lighthouse is 22 long and the angle of elevation is 72 degree. Find the height of the lighthouse. At 4 pm the angle of elevation of the sun is 40 degree. Find the lenght of the shadow cast by the lighthouse. At 6 pm will the lenght of the shadow be longer or shorter than it was at 4 pm?

Question

anonymous · Answer

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anonymous · Answer

Height of lighthouse = 22 Tan[72/180 pi ] = 67.709
Length of lighthouse shadow at 4pm = 22 Tan[72/180 pi] Cot[40/180 pi] = 80.6925
Shadow length will be longer at 6pm than at 4pm.