A34 - m tall building casts a shadow. the distance from the top of the building to the tip of the shadow is 36 m . find the length of the shadow. if necessary, round your answer to the nearest tenth.

Length of the shadow is 11.8 meters.

Step-by-step explanation:

In the figure attached,

AB is a 34 meter tall building casting a shadow BC.

Let the measure of BC = x meters

It is given that the distance between A and C is 36 meters.

To find the length of BC we will apply Pythagoras theorem in the triangle.

AB² + BC² = AC²

(34)² + x² = (36)²

1156 + x² = 1296

x² = 1296 - 1156

x² = 140

x = √140

x = 11.832 meters

  ≈ 11.8 meters

Therefore, length of the shadow will be 11.8 meters.

1/800 is the right answer

(5x-1)^2= (5x)^2-2(5x)×1+(1)^2=25x^2-10x+1