Question

Help plz:)))I’ll mark u Brainliest

Answer 1

Answer:

$20$ ft

Step-by-step explanation:

We know that the height of the object and the height of the shadow it casts are proportional. Therefore, if we let the length of the tree be $x$, we can set up the following proportion to solve for it:

$\frac{5}{8}=\frac{x}{32}$

Solving for $x$, we get:

$\frac{5}{8}=\frac{x}{32}$

$8*x=5*32$ (Cross-Products Property)

$8x=160$ (Simplify)

$\frac{8x}{8}=\frac{160}{8}$ (Divide both sides of the equation by 8 to get rid of $x$'s coefficient)

$x=20$ (Simplify)

Therefore, the tree is $20$ ft tall. Hope this helps!