Question

2 practice 2
kiran is flying a kite. he gets tired, so he stakes the kite into the ground. the kite is on a string that is 18 feet long and makes a 30 degree angle with the ground.
how high is the kite?
type your answer in the box.
feet

Explanation:

Step1: Identify the triangle type

We have a right - triangle where the hypotenuse (length of the string) $c = 18$ feet and the angle with the ground $\theta=30^{\circ}$. We want to find the height of the kite, which is the side opposite to the $30^{\circ}$ angle.

Step2: Use the sine function

In a right - triangle, the sine of an angle $\theta$ is defined as $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Let the height of the kite be $h$ (the side opposite to the $30^{\circ}$ angle). So, $\sin(30^{\circ})=\frac{h}{18}$.
We know that $\sin(30^{\circ})=\frac{1}{2}$. Substituting this value into the equation: $\frac{1}{2}=\frac{h}{18}$.
To solve for $h$, we can cross - multiply: $h = 18\times\frac{1}{2}$.

Step3: Calculate the value of h

$h = 9$ feet.

Answer:

9