A ladder 10cm long leans in the side of the building when it makes an angle of 57 with the ground calculate the height of the building.

Answer 1

The height of the building can be found using the sine of the angle. The formula for sine is:

sin(angle) = opposite / hypotenuse

In this case, the opposite side (height of the building) is what we're trying to find and the hypotenuse is the length of the ladder (10cm).

We can rearrange the formula to solve for height:

Height = sin(angle) * hypotenuse

So:

Height = sin(57 degrees) * 10cm

The sine of 57 degrees is approximately 0.839

So:

Height = 0.839 * 10cm

Height ≈ 8.39cm

Therefore, the height of the building is approximately 8.39cm.