Answer:the measure of the smallest angle is 28.7 degrees
Explanation:
The legs of a right triangle measure 6 inches and 11 inches. This means that the length of the opposite side and the adjacent side are 6 inches and 11.
To determine the third side which is the longest side and also the hypotenuse, we would apply Pythagoras theorem. It is expressed as
Hypotenuse^2 = opposite side^2 + adjacent side^2
Hypotenuse^2 = 6^2 + 11^2
Hypotenuse^2 = 36 + 121 = 157
Hypotenuse = √157 = 12.5
To determine the smallest angle, we would apply trigonometric ratio.
Sin# = opposite side/hypotenuse
Sin# = 6/12.5 = 0.48
# = 28.7 degrees