please refer to this image
please don't report this answer if it is wrong
but if its correct so please mark me as brainlist
Answer:
The correct option is;
The ratio of the area of the scale drawing to the area of the sign is equal to the square of the scale factor
Step-by-step explanation:
Here we have a scale factor of 1:8
Therefore area of drawing = 1/2×base, b×height, h = 1/2×b×h
Hence, the area of the triangular sin will be given by 1/2×8×b×8×h
Area of triangular sign = 64 × 1/2×b×h
Hence the ratio of the area of the scale drawing to the area of the triangular sign is equal to the square of the scale factor.
Let the length be 8x and the width = 5x, then
Perimeter = 2(length + width) = 2(8x + 5x) = 2(13x) = 26x
338 = 26x
x = 338/26 = 13
Therefore, length = 8x = 8 x 13 = 104
We know that
tan ∅=opposite side angle ∅/adjacent side angle ∅
adjacent side angle ∅=opposite side angle/tan ∅
in this problem
see the attached figure to better understand the problemangle ∅=80°
opposite side angle ∅=12 ft (AB)
adjacent side angle ∅=? (AC)
adjacent side angle ∅=12/tan 80°------> 2.12 ft
the answer is2.12 ft