From the top of a bridge that is 50 m high, two boats can be seen anchored in a marina. one boat is anchored in the direction s20°w, and its angle of depression is 40°. the other boat is anchored in the direction s60°e, and its angle of depression is 30°. determine the distance between the two boat

Explanation:

Given

height of bridge is

First Boat is at an angle of w.r.t to x axis

Second boat is at an angle of w.r.t to x axis

from Diagram

In triangle ABO

In triangle ACO

where and are the distance of boat from origin O

Position vector of boat 1 w.r.t origin is

Position vector of boat 2 w.r.t origin is

Position of

Distance between them is

54 degrees incident angle = reflected angle

angle is from normal turned to line of ray

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