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

you estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82 .the total height of the building is another 123 meters above the 86th floor.

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