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