Respuesta :

Answer:

x = 15.69

Step-by-step explanation:

Given that,

Height, h = 9

Hypotenuse, H = x

Angle, [tex]\theta=35[/tex]

We need to find the value of x.

The relation between height, Hypotenuse and the angle is given by :

[tex]\sin\theta=\dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\\sin(35)=\dfrac{9}{x}\\\\x=\dfrac{9}{\sin(35)}\\\\x=15.69[/tex]

So, the value of x is 15.69.