SOLUTION:
Case: Angle of elevation
Given:
A 20 ft flagpole is casting a shadow that is 8.9 ft long
This describes a right-angle triangle
Required: To find the angle of elevation
Method:
Step 1: First we visualize the main parts of the right angle triangle
Opp = 20ft
Adj= 8ft.
Step 2: We would be using tangent trigonometry ratio
[tex]\begin{gathered} \tan\theta=\frac{opp}{Adj} \\ tan(\theta)=\frac{20}{8} \\ tan(\theta)=2.5 \\ \theta=\tan^{-1}(2.5) \\ \theta=68.2\degree \end{gathered}[/tex]Final answer:
The angle of elevation is 68.2 degrees
