In sunlight, a vertical yardstick casts a 1 ft shadow at the same time that a nearby tree casts a 15 ft shadow. how tall is the tree?

Tree is 45 ft tall.

Step-by-step explanation:

In the figure attached AB is the tree and CD is the yardstick.

Shadow of tree AB is BO = 15 ft and shadow of yardstick is CO.

since length of a yardstick is = 1 yard or 3 ft.

Now we know that ΔABO and ΔDCO are similar.(since ∠A = ∠D and ∠B = ∠C = 90° so AA property proving triangles similar)

Therefore

By putting the values of AB and CD

x = 3×15 = 45 ft.

Therefore the height of the tree is 45 ft.

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