Question

A kite is flying at an angle of elevation of about 35 degrees all 80 meters of string have been let out. ignoring the sag of the string, find the height of the kite

Answer 1

The height of the kite is 45.90 m

Here, we want to find the height of the kite

We have the diagram of the scenario as follows;

Here, to get the height h, we use the appropriate trigonometric identity

The kite length faces the right angle and that makes it the hypotenuse

The height of the kite h faces the angle given and that makes it the opposite

The triginometric ratio that links both is the sine

The sine is the ratio of the opposite h to the hypotenuse 80

Thus, we have it that;

`\begin{gathered} \sin e\text{ 35 = }(h)/(80) \\ \\ h\text{ = 80}*\text{ sin 35} \\ h\text{ =45.90 m} \end{gathered}`