Two boats are approaching the same dock. Boat A measures 37° from boat B to the dock. Boat B measures 68° from boat A to the dock. What is the angle the boats make with the dock?
I'm having a little trouble visualizing the angles in question. If we label the boats A and B and the dock D, which angles are we talking about?
To find the angle that the boats make with the dock, we can use the concept of supplementary angles. The total angle around a point is 360 degrees, so the angle between the boats (let's call it angle X) and the dock can be calculated by subtracting the angles given.
First, we find the angle between Boat A and Boat B:
Angle A = 180° - 37° = 143°
Now we can find angle X by subtracting the angle between Boat A and Boat B from the angle between Boat B and the dock:
Angle X = 180° - Angle A - Angle B
= 180° - 143° - 68°
= 32°
Therefore, the angle the boats make with the dock is 32 degrees.