Question

the gateway arch in missouri casts a 140 foot shadow while a 18 - foot pole casts a 4 - foot shadow. how tall is the arch?
a) 630 feet pajamas
b) 654 feet bow - ties
c) 672 feet gorilla costumes
d) 688 feet tu - tus
e) 705 feet sunglasses

Explanation:

Step1: Set up proportion

Let \( h \) be the height of the Arch. The proportion is \( \frac{h}{140}=\frac{18}{4} \).

Step2: Solve for \( h \)

Cross - multiply: \( 4h = 18\times140 \). Then \( h=\frac{18\times140}{4} \). Calculate \( 18\times140 = 2520 \), and \( \frac{2520}{4}=630 \).

Answer:

A. 630 feet