Question

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Answer 1

so we need to find D

By using the Trignometry function for the diagram

opp = 3 Adj = 2

$\begin{gathered} \tan \theta\text{ =}\frac{3}{2} \\ \tan \theta\text{ = 1.5} \\ \theta=tan^{-1}(1.5) \\ \theta\text{ = 56}.3^{\cdot} \\ \end{gathered}$

QUESTION 2

To solve for AD

$\begin{gathered} AD^2\text{ =}AE^2+DE^2 \\ AD^2=3^2+2^2 \\ AD^2\text{ = 9 + 4} \\ AD^2=13 \\ AD\text{ = }\sqrt[]{13}\text{ } \\ AD\text{ =3.6in} \end{gathered}$