A monument casts a 40 -foot shadow. Adam is 6 feet tall and casts a 5 -foot shadow. How tall is the monument? A. 48 ft B. 33 ft C. 40 ft D. 30 ft

Question

UpStudy AI · Accepted Answer

Let the height of the monument be $$ h $$.

Since the monument and Adam create similar triangles, the ratio of the height to the shadow length is the same for both.

For the monument, the ratio is:
$$
\frac{h}{40}
$$

For Adam, the ratio is:
$$
\frac{6}{5}
$$

Equate the two ratios:
$$
\frac{h}{40} = \frac{6}{5}
$$

Solve for $$ h $$:
$$
h = 40 \times \frac{6}{5}
$$
$$
h = 40 \times 1.2
$$
$$
h = 48
$$

Thus, the height of the monument is $$ 48 $$ feet.
The monument is 48 feet tall.

Upstudy AI Solution