Answer:
e = 64.8 cm
Explanation:
The first thing to do here is to make a sketch of the triangle in question.
Please check the attachment for this.
The first thing to do here is to find the value of angle D.
Since it is a triangle, total angle there is 180
This means that;
D + E + F = 180
Thus 154 + 5 + D = 180
D + 159 = 180
D = 180-159
D = 21
The easiest way to find e is by the use of the sine rule.
Mathematically;
d/Sin D = e/Sin E
Thus;
53/sin 21 = e/Sin 154
e = 53Sin 154/Sin 21
e = 64.83
which is e = 64.8 cm to the nearest 10th of a centimeter