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Question

Salma is at the top of a cliff looking down at Rico’s boat. They both have Global Positioning System (GPS) devices and are communicating via cell phones. They determine that Rico’s boat is 5.0 km from a point on the shore directly below Salma, and 6.0 km from Salma herself. a) Draw a diagram to represent this situation and label the given information. b) Find the angle of depression at which Salma is viewing Rico’s boat. c) Find the height of the cliff.

Solution

VerifiedStep 1

1 of 3$\textbf{a)}$

Let $\theta$ be the angle of depression from Salma to Rico which is equal to the angle of elevation from Rico to Salma since they are alternate angles. We also let $h$ be the height of the cliff as shown:

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