Answer:
horizontal distance = 74.13 ft
Step-by-step explanation:
In order to solve this problem, we can start by drawing what the situation looks like. (see attached picture)
As we can see in the picture, we can build a right triangle with the balloon and the operator. We can use a trigonometric function so solve this. Specifically the tan function. We know that:
[tex]tan \theta = \frac{opposite}{adjascent}[/tex]
in this case:
[tex]tan \theta = \frac{h}{l}[/tex]
so we need to figure out what l is equal to. We can solve this equation for l, so we get:
[tex]l=\frac{h}{tan \theta}[/tex]
and substitute the values given by the problem, so we get:
[tex]l=\frac{50ft}{tan (30^{0})}[/tex]
which yields:
l=74.13 ft
