We have the triangle below:
The value of x can be found using Pythagoras theorem:
[tex]hypothenuse^2\text{ = opposite}^2\text{ + adjacent}^2[/tex]
Substituting we have:
[tex]x^2\text{ = 16}^2\text{ + 36}^2[/tex]
Solving for x:
[tex]\begin{gathered} x^2\text{ = 1552} \\ x\text{ = }\sqrt{1552} \\ x\text{ = 39.39} \end{gathered}[/tex]
Answer: 39.4 feet
The value of the angle can be found using the formula:
[tex]\begin{gathered} \theta\text{ = }\tan^{-1}(\frac{16}{36}) \\ \theta\text{ = 23.96 } \\ \theta\text{ }\approx\text{ 24}^0 \end{gathered}[/tex]
