Answer: The approximate height of the balloon from the ground is 7.1 feet.
Step-by-step explanation:
Based on the given information, you can draw a right triangle as the one shown in the image attached, where x is the approximate height of the balloon from the ground.
Then, you can calculate x as following:
[tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]
Where:
[tex]\alpha=45\°\\opposite=x\\hypotenuse=10[/tex]
Substitute values and solve for x. Therefore, the result is:
[tex]sin(45\°)=\frac{x}{10}\\\\x=10*sin(45\°)\\x=\sqrt{2}ft[/tex]
[tex]x[/tex]≈[tex]7.1ft[/tex]
