The length of the tree shadow is 24m. the pole 1m50cm high casts a shadow 1m 60cm. Calculate the height of the tree.

univerkov | February 8, 2021 | education

Let us prove that the triangle AСD is similar to the triangle ABK.

Both triangles are straight, since СD and ВK are perpendicular to AD, and the angle A is common for the triangles, then the triangles are similar in acute angle.

СD / ВK = AD / AK.

СD / 1.5 = 24 / 1.6.

1.6 * СD = 24 * 1.5.

1.6 * СD = 36.

СD = 36 / 1.6 = 22.5 m.

Answer: The height of the tree is 22.5 meters.

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