Answer:
hypotenuse = 2879
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.