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Answered

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Two boats start their journey from the same point A and travel along directions AC and AD, as shown below:

What is the distance, CD, between the boats?

230.9 ft
284.3 ft
115.5 ft
173.2 ft

Two Boats Start Their Journey From The Same Point A And Travel Along Directions AC And AD As Shown Below What Is The Distance CD Between The Boats 2309 Ft 2843 class=

Sagot :

Answer:

Option (1)

Step-by-step explanation:

By applying tangent rule in ΔABD,

tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{AB}{BD}[/tex]

BD = [tex]\frac{AD}{\text{tan}(30)}[/tex]

BD = [tex]\frac{200}{\frac{1}{\sqrt{3} } }[/tex]

BD = 200√3 ft

By applying tangent rule in ΔABC,

tan(60°) = [tex]\frac{AB}{BC}[/tex]

[tex]\sqrt{3}=\frac{200}{BC}[/tex]

BC = [tex]\frac{200}{\sqrt{3}}[/tex]

Since, CD = BD - BC

CD = 200√3 - [tex]\frac{200}{\sqrt{3}}[/tex]

     = 346.41 - 115.47

     = 230.94 ft

     ≈ 230.9 ft

Therefore, Option (1) will be the correct option.

villarisa36

Answer:

230.9 ft

Step-by-step explanation:

person above said it was correct answer

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