Question

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?

Answer 1

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:

$sin\alpha=\frac{opposite}{hypotenuse}$

Where:

$\alpha=45\°\\opposite=x\\hypotenuse=10$

Substitute values and solve for x. Therefore, the result is:

$sin(45\°)=\frac{x}{10}\\\\x=10*sin(45\°)\\x=\sqrt{2}ft$

$x$≈$7.1ft$