14300 meters
Explanation
we need assume a rigth triangle and then,
Step 1
Let
opposite side=height= 1000 mt
adjacent side=distance from the base tof the cliff ot the place where the glider lands=x
angle= 4
now, we need a function that relates those measures
[tex]\begin{gathered} \tan \partial=\frac{opposite\text{ side}}{\text{adjacent side}} \\ \end{gathered}[/tex]replace,
[tex]\begin{gathered} \tan \partial=\frac{opposite\text{ side}}{\text{adjacent side}} \\ \tan 4=\frac{1000}{\text{x}} \end{gathered}[/tex]Step 2
now, solve for x
[tex]\begin{gathered} \tan 4=\frac{1000\text{ mt}}{\text{x}} \\ x\cdot\tan \text{ 4=1000 mt} \\ x=\frac{1000\text{ mt}}{\tan4}=\frac{1000}{0.069926} \\ x=14300\text{ meters} \end{gathered}[/tex]I hope this helps you
