Simple geometry can compute the height of an object from the object's shadow length and shadow angle using the formula: tan(angleelevation) = treeheight / shadowlength. given the shadow length and angle of elevation, compute the tree height.

answer: 180

step-by-step explanation:

12-2=10

20-2=18

10x18=180

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47