Ireally need with this, i was confident until now.

hypotenuse = 2879

Step-by-step explanation:

By alternate interior angles, the angle on the base of the triangle is 10o.

So what you have here is a trig question, so you have to relate the hypotenuse and the side opposite with 10 degrees.

One of the six Trig functions = opposite / hypotenuse

One of the six Trig functions =500 / x

You are actually using the Sine function.

Sin(10) = 500/x

Sin(10) = 0.1736

0.1736 = 500 / x       Multiply both sides by x

0.1736 * x = 500 /x * x

0.1736 * x = 500       Divide both sides by 0.1736

0.1736x/0.1736 = 500 / 0.1736

x = 2879

So the hypotenuse is 2879.