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?
213.2 ft

115.5 ft

230.9 ft

346.4 ft

Question

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?
213.2 ft

115.5 ft

230.9 ft

346.4 ft

anonymous · Answer

attachment

mertsj · Answer

Do you know your special right triangles?

anonymous · Answer

30-60-90

mertsj · Answer

Yes.  Do you know the relationships among the sides?

anonymous · Answer

no

mertsj · Answer

It all depends on the short leg.  That is the side opposite the 30 degree angle.
Multiply that short side by 2 to get the hypotenuse.  Multiply it by sqrt3 to get the long leg (the side opposite the 60 degree angle).
Can you do that for the triangles in your picture?

anonymous · Answer

well i dont know how to do it can you teach me

mertsj · Answer

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