Question

Help solving for #3 DE and if willing to help also #4

Answer 1

Step 1:

Concept: Name the given sides and use the Pythagoras theorem to solve for DE.

Step 2:

The side facing the right angle is the hypotenuse = DF

The side facing the given angle is the opposite = DE

The third side is the adjacent = 6

Step 3: Apply the Pythagoras theorem.

`\begin{gathered} \tan \text{ }\theta\text{ = }\frac{opposite}{\text{adjacent}} \\ \tan \text{ 50 = }(DE)/(6) \\ 1.192\text{ = }(DE)/(6) \\ DE\text{ = 1.192 }*\text{ 6} \\ DE\text{ = 7.152} \end{gathered}`

Final answer

DE = 7.152