A girl 160m tall stands 180m from the foot of a building. she find that the angle of elevation of the building is 17 degree. calculate the height of the building to the nearest 1/2 metre

Answer 1

Let's call the height of the building "h". We can use the tangent function to set up an equation:

tan(17 degrees) = h / 180m

Now we can solve for "h":

h = 180m * tan(17 degrees)

Using a calculator, we get:

h ≈ 56.8m

Rounding to the nearest 1/2 metre, we get:

h ≈ 57m

So the height of the building is approximately 57m.