Question

In ALMN, the measure of ZN=90°, LM = 68 feet, and MN = 38 feet. Find themeasure of ZL to the nearest tenth of a degree.

Answer 1

The sine of an angle(in a right triangle) is given by the the ratio of the opposite side with the hypotenuse, so the sine of (xº) is given by:

$\frac{38}{68}=\sin (x^o)$

Using the arcsin(x) function we can find the measure of the angle:

$\begin{gathered} \sin ^{-1}(\frac{38}{68})=x^o=33.9744759503\ldots \\ \Rightarrow x^o\approx34^o \end{gathered}$