124k views
0 votes
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.

User Vmg
by
4.6k points

1 Answer

3 votes

Answer:


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

The legs of a right triangle measure 6 inches and 11 inches. What is the measure of-example-1
User Ilya
by
5.3k points