Question

The angle of depression from d measures 25 if EF= 10 find De.

Answer 1

Step 1: You draw the diagram

The term angle of depression denotes the angle from the horizontal downward to an object. An observer's line of sight would be below the horizontal.

The angle of depression is equal to angle

Step 2: Apply trigonometric ratio to find the side DE.

`\begin{gathered} \tan \theta\text{ = }\frac{Opposite}{\text{Adjacent}} \\ \theta\text{ = 25} \\ \text{Opposite DE = ?} \\ \text{Adjacent EF = 10 yd} \end{gathered}`

Step 3: Substitute the values in the tangent equation to find side DE.

`\begin{gathered} \tan 25\text{ = }(DE)/(10) \\ 0.4663\text{ = }(DE)/(10) \\ \text{Cross multiply} \\ DE\text{ = 10 x 0.4663} \\ DE\text{ = 4.663} \end{gathered}`

Final answer

DE = 4.7 yard