Answer:
the height of the building is 18.6 m
Step-by-step explanation:
using the Pythagorean theorem
a^2+b^2=C^2
a and b are the shorter legs while c is the hypotenuse
a=32, b=?, c=37
32^2+b^2=37^2
square the known numbers ( a and c)
1024+b^2=1369
subtract 1024 from both sides
b^2=345
square root both sides to cancel the square on b
b=18.5741756
Round if needed b=18.6m