The legs of a right triangle measure 6 inches and 11 inches.

what is the measure of the smallest angle of the triangle?

enter your answer, rounded to the nearest tenth of a degree, in the box.

the measure of the smallest angle is 28.7 degrees

Step-by-step 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

thats not a system of equations, that is a solution