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;
[tex]\begin{gathered} \sin e\text{ 35 = }\frac{h}{80} \\ \\ h\text{ = 80}\times\text{ sin 35} \\ h\text{ =45.90 m} \end{gathered}[/tex]