Distance between a Whale and a Lighthouse Debbie Glockner-Ferrari, a whale researcher, is watching a whale approach directly toward a lighthouse as she observes from the top of this lighthouse. When she first begins watching the whale, the angle of depression to the whale is 15 50. Just as the whale turns away from the lighthouse, the angle of depression is 35 40. If the height of the lighthouse is 68.7 m, find the distance traveled by the whale as it approached the lighthouse.

Introduction to Vectors Part 1 Saadiq Shaik September 2016 1 Cartesian Coordinates in Space A vector is de▯ned as a quantity with both a magnitude and direction. We will be dealing with vectors in three dimensional space, so familiarize yourself with the three dimensional coordinate system. The coordinate planes are the xy-plane, yz-plane, and xz-plane. There are eight octants, but the one we will be dealing with most is the ▯rst octant, which contains positive x, y, and z values. Imagine a point P with the coordinates (a ;b ;c ) and a point Q with 1 1 1 the coordinates 2a2;b3;c ) in three dimensional space. The distance between them is given by the distance formu