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

Question

Aarav Valentine

Mathematics

23 July, 05:48

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

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Answers (1)

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Louis Duke · 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