A fishing boat lies 200 m due south of a large tree on the shoreline and 300 m southwest of the dock. The shoreline runs East to
West. Enter a number in the box to correctly complete the statement. Round the answer to the nearest tenth. The distance along the shore from the tree to the dock is about m
2 answers:
Answer:
Distance between dock and tree is 223.6 m.
Step-by-step explanation:
As per question distance between dock and boat is 300 m and distance between boat and tree is 200 m.
Let the distance between dock and tree is x m.
Therefore by applying Pythagoras theorem in the triangle formed
x² = 200² + 300²
x = √(300² - 200²) = √(90000 - 40000) = √50000 = 100√5 = 100×2.23606
x = 223.6 m
Therefore answer is distance between tree and dock will be 223.6 m.
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