The angle of elevation of the sun is 27degree,a man is 180m tall.How long is his shadow?give your to the nearest 10cm.

I don't no it

tan 27 = 8/x

To calculate the length of the shadow, we can use trigonometry. Specifically, we can use the tangent function since we have the angle of elevation and the height of the man.

The tangent (tan) of an angle is equal to the opposite side divided by the adjacent side. In this case, the opposite side is the length of the shadow and the adjacent side is the height of the man.

Let's define our variables:
Angle of elevation (from the ground to the top of the man): 27 degrees
Height of the man: 180 meters
Length of the shadow: x (what we're trying to find)

Using the equation for tangent, we have tan(27 degrees) = x / 180

Now we can solve for x by multiplying both sides of the equation by 180:
x = 180 * tan(27 degrees)

Calculating this using a calculator, we find that x is approximately 86.81 meters.

Finally, since we're asked to give the answer to the nearest 10 centimeters, we can round our answer to 87 meters.