Question

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

Answer 1

tree...........................dock
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boat

use Pythagorean Theorem to satisfy...a^2 + b^2 = c^2

200^2 + b^2 = 300^2
b^2 = 300^2 - 200^2
b^2 = 50000 (get square root of each)
b = 223.606 (rounded to the nearest tenth.... = 223.6

Answer 2

Distance between dock and tree is 223.6 m.

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.