Answer:
angle LKJ = 49 degrees
Step-by-step explanation:
Triangle JKL is a right-angled triangle. This means taht the special trigonometric functions can be applied.
These trig functions are:
sine θ = opposite side / hypotenuse
cos θ = adjacent side / hypotenuse
tan θ = opposite side / adjacent side
In the given:
θ is angle LKJ
the opposite side is LJ = 8.9 cm
the adjacent side is LK = 7.7 cm
using the tan of the angle:
tan (LKJ) = 8.9 / 7.7
angle LKJ = tan^-1 (8.9 / 7.7)
angle LKJ = 49.134 which is approximately 49 degrees
Hope this helps :)