How tall is a tower if it casts a shadow 65 ft long at the same time that a
building 160 ft tall casts a shadow 130 ft long?
set it up like x/65 = 160/130
solve for x
probably u shuld get 80
part over whoel equals percent over 100 i know that doesnt apply to this problem but is the same type of problem
To determine the height of the tower, you can use the concept of similar triangles. Similar triangles have corresponding angles that are equal and proportional sides. In this case, the ratio of the height of the tower to the length of its shadow is the same as the ratio of the height of the building to the length of its shadow.
Let's denote the height of the tower as "x." The proportion can be set up as:
(x / 65) = (160 / 130)
To solve for x, cross multiply and then divide:
130x = 65 * 160
130x = 10400
x = 10400 / 130
x ≈ 80 ft
Therefore, the height of the tower is approximately 80 ft.