Question

A lamp post 4m y’all has a shadow 3.2 m long cast by the Sun. A man 1.8m y’all is standing by the lamp post. At the same moment, what is the length of his shadow?

Please explain with the answer

Answer 1

To find the length of the man's shadow, we can set up a proportion comparing the height of the lamp post to the length of its shadow. Using this proportion, we can solve for the length of the man's shadow and determine that it is 7.2 meters.

Step-by-step explanation:

To determine the length of the man's shadow, we can use similar triangles. The ratio of the length of the lamp post to the length of its shadow is the same as the ratio of the man's height to the length of his shadow. Using this proportion, we can find the length of the man's shadow.

Let's set up the proportion:

4m / 3.2m = (1.8m + x) / x

Where x represents the length of the man's shadow.

Cross-multiplying, we get:

4m * x = (1.8m + x) * 3.2m

Simplifying the equation, we have:

4x = 5.76 + 3.2x

Combining like terms, we get:

0.8x = 5.76

Dividing both sides by 0.8, we find:

x = 7.2

Therefore, the length of the man's shadow is 7.2 meters.