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A man standing on the deck of a ship, h m above the sea level, observes that the angles of elevation and depression of the top and the bottom of a cliff are A and B respectively. Find the height of the cliff in terms of A, B and hgive me the correct ans with clear explainnation and I will give u the BRAINLIEST! |
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Answer» Step-by-step explanation: The DISTANCE of the cliff from the ship is 20.784 m and Height of cliff is 32.784 m . Step-by-step explanation: Refer the ATTACHED figure. A man STANDING on the deck of a ship is 12 m above water level.i.e.BE = DC=12 m The angle of elevation of the top of a cliff is 45 degree i.e. ∠ABC=45° The angle of depression of the base of the cliff is 30 degree i.e. ∠DBC=45° Height of the cliff = AD The distance of the cliff from the ship =BC Using trigonometric ratio In ΔABC tan0=perpendicular/base tan45°=AC/BC 1=AC/BC AC=BC In ΔBCD
tan0=perpendicular/base tan30=DC/BC 1/√3 =12/BC BC=12√3 BC=12*1.732 BC=20.784 The distance of the cliff from the ship =BC=20.784 m BC =AC = 20.784 m Height of cliff = AD = AC+DC= 20.784+12=32.784 m Hence The distance of the cliff from the ship is 20.784 m and Height of cliff is 32.784 m . |
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