Question

Help8. A boat is sailing and spots a shipwreck 650 feet below the water. A diver jumps from the boat and swims 935 feet to reach the wreck. What is the angle of depression from the boat to the shipwreck?

Answer 1

`\begin{gathered} \text{Let the angle of depression be }\theta \\ \text{From the diagram} \\ \theta=90^o-\alpha \\ \cos (\alpha)=(650)/(935)=(130)/(187) \\ \Rightarrow\alpha=\cos ^(-1)((130)/(187))=45.96^o \\ \Rightarrow\theta=90-45.96=44.04\text{deg} \end{gathered}`

Hence the angle of depression is 44.04degrees