Given:
In triangle KLM, KL = 123 cm and measure of angle K is 35 degrees.
To find:
The length of the side KM to the nearest tenth of a centimeter.
Solution:
In a right angle triangle,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
In the given right triangle KLM,
[tex]\cos K=\dfrac{KM}{KL}[/tex]
[tex]\cos (35^\circ)=\dfrac{KM}{123}[/tex]
[tex]0.819152=\dfrac{KM}{123}[/tex]
Multiply both sides by 123.
[tex]0.819152\times 123=KM[/tex]
[tex]100.755696=KM[/tex]
[tex]KM\approx 100.8[/tex]
The measure of side KM is 100.8 cm.
Therefore, the correct option is (2).
