X = width
2x = length
2x + 4x = 48
6x = 48
x = 8
2x = 16
8*16 = 128
Your answer should be that the area is 128 square yards. Hope this helps!
You can draw a right triangle with the informatio.
The vertical change in elevation (unknown) is the opposed leg to the angle 15°
The distance from the surveyor to the point vertically below the point on the mountain is the adjacent leg = 6 miles.
Then tan(15°) = x / 6 => x = 6tan(15) = 1.61 miles
Answer: 1.61 miles