A building cast a shadow 42m long. At the same time, the shadow cast by a 34 cm tall pole is 86 cm long. Find the height of the building

a building casts a shadow 40m long.a flag pole 8m tall is on the top of thebuilding.the end of its shadow at the same time is 50m from the building.find the height of the building?

X will be equal to 16.6

To find the height of the building, we can set up a proportion using the lengths of the shadows and the heights of the objects.

Let:
H = height of the building
h = height of the pole
L = length of the building's shadow
l = length of the pole's shadow

Given:
L = 42 m (length of the building's shadow)
l = 86 cm (length of the pole's shadow)
h = 34 cm (height of the pole)

We need to convert the lengths to the same unit, so we will convert the length of the pole's shadow from centimeters to meters:
l = 86 cm = 0.86 m

Now we can set up the proportion:

H / L = h / l

Substituting the given values:
H / 42 = 34 / 0.86

To solve for H, we'll cross multiply and then divide:
H = (34 / 0.86) * 42

H ≈ 1664.18 m

Therefore, the height of the building is approximately 1664.18 meters.

Cross multiply and solve for x.

34/86 = x/42