Question

....Need help drawing the picture！

Answer 1

Answer: distance between the boats are 257.679m

Step-by-step explanation: in figure AB is the distance between the boats

and CO is the tower.

Answer 2

Answer: 258 meter

Explanation:

This is a 3-dimensional picture so requires two drawings to understand it.

The first drawing is for the Bearing. This drawing is used to find the angle BETWEEN Boat A and Boat B (250° - 180° = 70°) and to see the relationship between their sides in order to use the Law of Cosines.

The second drawing is for the Angle of Depression. This drawing is used to find the distance of Boat A to the reference point (which creates a 90° angle) and the distance of Boat B to the reference point.

`tan\ \theta = (opposite)/(adjacent)\\\\\\tan\ 34^o=(166)/(a)\\\\\\a=(166)/(tan\ 34^o)\\\\\\\boxed{a=246.1}`

`tan\ 40^o=(166)/(b)\\\\\\b=(166)/(tan\ 40^o)\\\\\\\boxed{b=197.8}`

`c^2=a^2+b^2-2ab\cdot cos\ C\\\\c^2=(246.1)^2+(197.8)^2-2(246.1)(197.8)\cdot cos\ 70^o\\\\c=\boxed{258}`