Answer: L = 1.27 radians.
Step-by-step explanation:
Here we have a triangle rectangle, for the triangle rectangle and one given angle θ we have the relations:
cos(θ) = (adjacent cathetus)/hypotenuse
sin(θ) = (opposite cathetus)/hypotenuse
tan(θ) = (opposite cathetus)/(adjacent cathetus)
Here we have the adjacent cathetus = 18in, and the hypotenuse = 60in.
Sowe can use the cosine relation:
Cos(L) = 18in/60in = 0.3
Acos(cos(L)) = L = Acos(0.3) = 1.266
We want to round it to the nearest hundredth, so we would have:
L = 1.27 radians.
