Respuesta :
Answer
1.9318a
Explanation
Angles in a triangle add up to 180. So angle k is
Angle K = 180 -(45+30) = 180 - 75
= 105°
Now using the sine rule,
FK/sinL = FL/sinK
a/sin30 = FL/sin105
FL =(a × sin 105)/sin30
= 0.9659a/0.5
= 1.9318a
Answer:
FL = 1.9318a
Step-by-step explanation:
The above problem can be solved using sin rule. The triangle is drawn in the fig in attachment
using sin rule we can write
[tex]\frac{FK}{sin30} = \frac{FL}{sin105} = \frac{KL}{sin45}[/tex]
there we write
[tex]\frac{FK}{sin30} = \frac{FL}{sin105}[/tex]
out FK= a and value of sin30 and sin 105 we get
[tex]\frac{2a}{1} = \frac{FL}{0.9659}[/tex]
FL = 1.9318a
therefore the required length FL= 1.9318a