Answer:
length of the hypotenuse = 12.45.
Explanation
A right triangle consists of the hypotenuse (longest side), the opposite(length of the leg) and the adjacent.
The angle at the corner is 90degrees
Given the following
Length of the leg = 8
angle opposite the side = 40 degrees
To get the hypotenuse, we will use the SOH CAH TOA trigonometry identity;
sin theta = opposite/hypotenuse
sin 40 = 8/hypotenuse
hypotenuse = 8/sin40
hypotenuse = 8/0.6428
hypotenuse = 12.45
Hence the length of the hypotenuse is 12.45.
See the diagram attached
