SOLUTION: To measure the height of a cliff, a surveyor made the measurements shown in the diagram below. Find the height of the cliff to the nearest tenth of a metre. Please check this link
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Question 1173232: To measure the height of a cliff, a surveyor made the measurements shown in the diagram below. Find the height of the cliff to the nearest tenth of a metre. Please check this link for the referred diagram: https://www.bartleby.com/questions-and-answers/to-measure-the-height-of-a-cliff-a-surveyor-made-the-measurements-shown-in-the-diagram-below.-find-t/bb3bb796-9c80-4de3-bd94-283422b9b2f3 Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! The triangle on the ground has for its third angle 59 degrees with a side of 200 m
The side that crosses the river can be found by the Law of Sines.
sin 59/200=sin 51.6/x
and x=182.86 m
the tangent of the angle to the top of the cliff is tan 33.1=x/182.86, where x is the height of the cliff.
The height is 182.86*tan 33.1=119.2 m
