Solve the triangle b=71 degrees, b=15, c=8

SinC/8=sin71/15

sinC=8sin71/15

C=arcsin(8sin71/15)≈30.28°

A=180-71-arcsin(8sin71/15)≈78.72

a/sin78.72=15/sin71

a=15sin78.72/sin71≈15.56

So the angles and their opposite side lengths are:

A=78.72°, B=71, C=30.28°

a≈15.56, b=15, c=8

38,400 in²

Step-by-step explanation:

Given the scale :

SCALE = 1 : 40

Scale measurement:

Length = 6 inches

Width = 4 inches

The actual dimension of the room :

Actual Room length = 6 * 40 = 240 inches

Actual Room length = 4 * 40 = 160 inches

Hence, Area of Rectanglar room:

Length * Width

(240 inches * 160 inches) = 38,400 in²

The length of the rectangle is labeled 6 inches. The width of the rectangle is labeled 4 inches.