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16. An aeroplane at an altitude of 250 m observes the angleof depression of two boats on the opposite banks ofa river to be 45° and 60° respectively. Find the widthof the river. Write the answer correct to the nearestwhole number |
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Answer» Let A be the position of the airplane and let BC be the river. Let D be the point in BC just below the airplane. B and C be two boats on the opposite banks of the river with angles of depression 60° and 45° from A. tan 45= AD/ DCy= 250= DCin ADB tan 60= AD/BD√3= 250/xx= BD= 144.3mBC= BD+DC144.3+ 250394.3m= width |
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