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

Thus, the closest value is 23.6 degree.

Answer: Option (B)