Can someone please tell me how to do this!?!?!? i have no clue if im getting this right

Explanation:

The sine ratio involves the opposite side over the hypotenuse

For reference angle E, the opposite side is the unknown vertical side, which we'll call x for now.

The known leg is 99 and the known hypotenuse is 101. We'll use these two bits of info to find x. Apply the pythagorean theorem:

a^2 + b^2 = c^2

x^2 + 99^2 = 101^2

x^2 + 9801 = 10201

x^2 = 10201-9801

x^2 = 400

x = sqrt(400)

x = 20

The missing vertical side of the triangle is 20 units. Now we can apply the sine ratio to find sin(E)

sin(angle) = opposite/hypotenuse

sin(E) = 20/101

This fraction cannot be reduced further. This is because 20 = 2*2*5, and neither 2 nor 5 is a factor of 101.

9987

step-by-step explanation: