Question

A kite is flying at a height of $60m$ above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is $60°$. Find the length of the string, assuming that there is no slack in the string.

Answer 1

Finding the length of the string:

Step 1: Draw the figure from the given data.

From the given data, the figure is

Here,$BC=$Height of the kite from the ground, $BC=60m$

$AC=$Inclined length of the string from the ground and $A$ is the point where string of the kite is tied.

Step 2: Find the length of the string from the ground i.e. the value of $AC$

$$\begin{gathered} \sin 60°=\frac{BC}{AC} \\ \Rightarrow \frac{\surd 3}{2}=\frac{60}{AC} \\ \Rightarrow AC=40\surd 3m \end{gathered}$$

Thus, the length of the string from the ground is $40\surd 3m.$