Question

A 27m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 29m. Find the length of the shadow. If necessary, round your answer to the nearest tenth.

Answer 1

Answer: To find the length of the shadow, we can use similar triangles. Let's denote the length of the shadow as "s."

We have a right triangle formed by the height of the building (27m), the length of the shadow (s), and the distance from the top of the building to the tip of the shadow (29m).

Using the concept of similar triangles, we know that the ratio of corresponding sides of similar triangles is equal. So, we can set up the following proportion:

Height of the building / Length of the shadow = Distance to the tip of the shadow / Length of the shadow

27m / s = 29m / s

Now, let's solve for "s":

27m * s = 29m * s

27m = 29m

Since "s" is the length of the shadow, the shadow's length is 29 meters.

So, the length of the shadow is 29 meters.