Answer:
Step-by-step explanation:
The sketch of the triangle is shown in the attached photo.
From the given right angle triangle,
AB represents the hypotenuse of the right angle triangle.
With m∠A as the reference angle,
AC represents the adjacent side of the right angle triangle.
BC represents the opposite side of the right angle triangle.
To determine AC, we would apply
the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos 50 = AC/40
AC = 40Cos50 = 40 × 0.643
AC = 25.72 cm
To determine BC, we would apply
the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin 50 = BC/40
BC = 40SinS0 = 40 × 0.766
BC = 30.64 cm
