<PRE><B>Question 1206872</B>


A passenger on a boat at sea looks up to the top of a mountain, 350 m above sea level. The angle of elevation is 12°. After the boat sails towards the mountain, the angle of elevation is found to be 23°. How far did it sail towards the mountain?

tan 12 = 350/(x+y)
x+y = 350/tan12...................1

tan 23 = 350/x

x = 350/tan23...........................2

subtract 2 from 1

y = 350/tan12 - 350/tan 23

y=822.07 m

*[illustration ship.png].







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