Question

Which is closest to the measure of angle L in the triangle below?M M2510K21.8°23.6°66.4°68.2°

Answer 1

Given data:

ML = 25

MK = 10

We need to find the angle L, for that the side opposite the to the angle L is always perpendicular that is MK

Perpendicular = 10

The side opposite the the right angle is always Hypotenues in right angle triangle so, the Hypotenues is ML

Hypotenues = 25

Now, by using the sine ratio we find the angle L

$\sin L=\frac{perpendicular}{hypotenues}$$\begin{gathered} \sin L=\frac{10}{25} \\ =\frac{2}{5} \\ L=\sin ^{-1}(\frac{2}{5}) \\ L=23.57^{\circ} \end{gathered}$

Thus, the closest value is 23.6 degree.

Answer: Option (B)