Question

Draw and label a picture using a triangle and solve using SOH CAH TOA

Answer 1

Let us sketch the triangle first

Let us solve for x using the trigonometry ratio, SOHCAHTOA

Given:

`\begin{gathered} \text{Opposite}=x \\ \text{Adjacent}=1500ft \\ \theta=15^0 \end{gathered}`

We will be using TOA to solve for x, since it covers both the opposite and adjacent

Therefore,

`\begin{gathered} \tan \theta=(opposite)/(adjacent) \\ \tan 15^0=(x)/(1500) \\ x=1500\tan 15^0 \\ x=401.9238ft\approx401.92(2\text{ decimal places)} \\ \therefore x=401.92ft \end{gathered}`

Hence, the depth of the submersible after the dive be the summation of the depth of the submersible when dived and the