1 Answer

Xdzc · Answer 1 · 2023-06-15T10:19:17+0000

We have the triangle below:

The value of x can be found using Pythagoras theorem:

$hypothenuse^2\text{ = opposite}^2\text{ + adjacent}^2$

Substituting we have:

$x^2\text{ = 16}^2\text{ + 36}^2$

Solving for x:

$\begin{gathered} x^2\text{ = 1552} \\ x\text{ = }√(1552) \\ x\text{ = 39.39} \end{gathered}$

Answer: 39.4 feet

The value of the angle can be found using the formula:

$\begin{gathered} \theta\text{ = }\tan^(-1)((16)/(36)) \\ \theta\text{ = 23.96 } \\ \theta\text{ }\approx\text{ 24}^0 \end{gathered}$

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