Josh tied a helium-filled balloon to a stake in the ground. The wind blew it so that the 10-foot string attached to the balloon made an angle of 45° with the ground. What is the approximate height of the balloon from the ground?
Accepted Solution
A:
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]