## How do you measure the height of a building with its shadow?

Once the **shadow of the building** is measured, we will place a straight object in a vertical situation (a ruler, a stick 26), we measure the relationship between the **height** of the stick and the length of the projection of its **shadow** on the ground and, **as** we already have the length of the **shadow of the building**, by a simple rule of three we will have its **height**.

### How tall is a building that casts a 49 m long shadow at exactly the same moment that a 2 m stake casts a 15 m long shadow?

that a **2 m stake casts a 1.25 m shadow** .

2 1.25 = x 49 = !92 x = 78.4 It has a **height of 78.4 m** .

### How to measure the height of a building inside a sunny day?

Grab the barometer and drop it to the ground from the roof of the **building** . Calculate the fall time with a stopwatch. Then the formula is applied: **Height** = 0.5g x T2 (where g is the acceleration due to gravity and T is the time that one ends up calculating with the stopwatch). And so we get the **height of the building** .

**How to measure the height of a building?:**

**How to measure a building with a standard of 30 cm?**

- We place ourselves at a distance called D from the object whose
**height H is**to be measured. - We extend the arms while we maintain a norm vertically at the
**level**of the eyes. - We measure the length of the
**building**with the ruler (by eye).

### How to calculate the height of an object with the Similar Theorem?

In any right triangle, the product of the hypotenuse times the **height** is equal to the product of the two legs. We can express it through the formula a h = b c and it will allow us **to calculate the height** of a right triangle based on the hypotenuse and its legs.

## How to calculate the height of a building after a while?

In short, we climb a building, throw a stone and measure the weather it takes to fall. Subsequently, we apply the formula **Height = 0.5g x T² where g is the unceasing gravitational force of the Earth (9.8m/s2) and T the time it takes for the stone to fall**.