Question

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.

Answer 1

`28.6\textdegree`

Explanation:

The legs of right triangles are
`6\ inches\ and\ 11\ inches`.

The smallest angle will be the angle opposite to smallest side. Here smallest angle will be angles opposite to the leg of length of
`6\ inches`.

Let the angle is
`\theta`.

`\tan \theta=(oppsite)/(adjacent)\\\\\tan \theta=(6)/(11)\\\\\theta=\tan^(-1)((6)/(11))\\\\\tehta=28.61\approx 28.6\textdegree`