A 15- ft tree casts an 18- ft shadow at the same time a 24- ft tree casts a shadow. How long is the shadow of the 24- ft tree

28.8 ft

Step-by-step explanation:

We can use proportion in calculating this.

Let X= height of the shadow of 24- ft tree.

The proportion can be set up as

(15- ft tree) /( 18- ft shadow )=(24- ft tree) / X

15/18 = 24/X

Making X subject of the formula

15X = 18 × 24

X= (18×24)/15

X=28.8 ft

Hence, the shadow of the 24- ft tree is 28.8 feet