A pole that is 3.1m tall casts a shadow that is 1.64m long. At the same time, a nearby building casts a shadow that is 50.25m long. How tall is the building? Round your answer to the nearest meter.
Use a proportion. Cross multiply and solve for x.
3.1/1.64 = x/50.25
94.98
72 m
can u solve this one? A pole that is 3.1m tall casts a shadow that is 1.3m long. At the same time, a nearby tower casts a shadow that is 44.75m long. How tall is the tower? Round your answer to the nearest meter.
To find the height of the building, we can use the concept of similar triangles. When two objects are in proportion and casting shadows, their heights and shadow lengths will follow the same ratio.
Let's say the height of the building is 'x' meters.
Using the given information, we can set up the following proportion:
(Height of the pole)/(Length of the pole's shadow) = (Height of the building)/(Length of the building's shadow)
Plugging in the values:
(3.1m)/(1.64m) = x/(50.25m)
To solve for 'x,' we can cross-multiply:
(3.1m) * (50.25m) = (1.64m) * x
155.775m² = 1.64m * x
Next, divide both sides by 1.64m:
155.775m² / 1.64m = x
The units of 'm' will cancel out:
95m = x
Therefore, the height of the building is approximately 95 meters.