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

Answer:

$28.6\textdegree$

Step-by-step 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 $\theta$.

$\tan \theta=\frac{oppsite}{adjacent}\\\\\tan \theta=\frac{6}{11}\\\\\theta=\tan^{-1}(\frac{6}{11})\\\\\tehta=28.61\approx 28.6\textdegree$