Question

If a tower casts a shadow 11 feet long the distance from the top of the tower to the end of the shadow is 61 feet .. How many feet tall is the tower 1

Answer 1

pythagorean theorem
the shadow legnth=bottom leg
legnth from top of tower to end of shadow=hypotounuse
height of tower=vertical leg

a^2+b^2=c^2
a and b are legs
c=hypotonuse

11^2+b^2=61^2
121+b^2=3721
minus 121 both sides
b^2=3600
sqrt both sides
b=60

height of toer is 60 feet