Question

A vertical pole of length 6 m casts a shadow 4 m long on the ground, and at the same time, a tower casts a shadow 28 m long. Find the height of the tower.

a) 24 m
b) 20 m
c) 18 m
d) 30 m

Answer 1

To find the height of the tower, we can use similar triangles and set up a proportion. The height of the tower is 42 meters. However, this result is not an option provided in the question.

Step-by-step explanation:

To find the height of the tower, we can use similar triangles. Let's denote the height of the tower as 'h'. Since the pole and the tower are vertical, their shadows will form similar triangles with the heights of the objects.

According to the information given, the length of the pole's shadow (4m) is to the height of the pole (6m) as the length of the tower's shadow (28m) is to the height of the tower (h). We can set up the following proportion:

4 / 6 = 28 / h. We can solve this proportion by cross-multiplying and then dividing to get: 4h = 28 * 6, 4h = 168, h = 168 / 4, h = 42 meters. Therefore, the height of the tower is 42 meters, which is not one of the options given. Please double-check the options or consult your teacher for clarification.