Answer:
24 m
Explanation:
We can model the situation with the following figure:
So, it can be represented as a right triangle and we want to know the value of h.
Then, we can relate the side of 15 m, h, and the angle of 58° with the trigonometric function tangent, so:
[tex]\begin{gathered} \tan 58=\frac{\text{Opposite side}}{Adjacent\text{ side}} \\ \tan 58=\frac{h}{15} \end{gathered}[/tex]Because h is the opposite side of 58° and 15 m is the adjacent side of the angle.
So, solving for h, we get:
[tex]\begin{gathered} 15\times\tan 58=15\times\frac{h}{15} \\ 15\times\tan 58=h \\ 15\times1.6=h \\ 24m=h \end{gathered}[/tex]Therefore, Yoda jump 24 m.
