Question

If Jose's height is 1.60m and he casts a 2m shadow while standing at the end of a tree's 3m shadow, what is the approximate height of the tree?

a) 2.40m
b) 3.20m
c) 4.80m
d) 6.40m

Answer 1

The approximate height of the tree is 2.40m.The correct option is A.

Step-by-step explanation:

To find the approximate height of the tree, we can set up a proportion using the heights and shadows. We have the height of Jose (1.60m) and his shadow length (2m), as well as the length of the tree's shadow (3m). We can set up the proportion as:

(Jose's height) / (Jose's shadow length) = (Tree's height) / (Tree's shadow length)

Substituting the values, we get:

(1.60m) / (2m) = (Tree's height) / (3m)

Cross-multiplying, we find the approximate height of the tree:

(1.60m * 3m) / 2m = Tree's height

Simplifying, we get:

2.40m = Tree's height

Therefore, the approximate height of the tree is 2.40m.