Answer:
i = 62 cm
Step-by-step explanation:
I have drawn the triangle to reflect the angles and dimension given and attached it.
The missing angle in the triangle is ∠J.
we know that sum of angles in a triangle = 180°
Thus;
148 + 21 + ∠J = 180
∠J = 180 - 148 - 21
∠J = 11°
To find i, we will make use of sine rule which is; a/sin A = b/sin B = c/sin C
Thus;
i/sin I = j/sin J
i = j sin I/sin J
i = (33 × sin 21)/sin 11
i = 61. 979 cm
To the nearest tenth gives;
i = 62 cm
