Which of the following is equivalent to 3x-4y=9

Ответ:

KindaSmartPersonn

18.05.2020

in triangle abc, we have

$\tan acb= \frac{ab}{bc}$

on substituting the given values, we get

$\tan 60^{\circ}= \frac{200}{bc} \\ \\ \sqrt3= \frac{200}{bc} \\ \\ bc=\frac{200}{\sqrt3}$

now, in triangle abd, we have

$tan 30 ^{\circ} = \frac{200}{bd} \\ \\ \frac{1}{\sqrt3} = \frac{200}{bd} \\ \\ bd=200\sqrt3$

therefore, the distance between the boats cd is given by

$cd=bd-bc\\ cd= 200\sqrt3- \frac{200}{\sqrt3}\\ \\ cd=230.9 ft$

a is the correct option.

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