A person 6 feet tall standing 18 feet away from a lamppost casts a 9 foot shadow. When the same person moves 4 feet farther from

Question

3 years ago

14

the lamppost, he will cast a shadow how long?

1 answer:

Len [333] · Answer 1 · 2021-12-13T06:22:44+03:00

Len [333]3 years ago

3 0

Answer:

<h2>12 feet 8 inch long cast a shadow</h2>

Step-by-step explanation:

A person 6 feet tall standing 18 feet away a lamppost cast a 9 foot shadow.

than move 4 feet than total distance is 22 feet

According to trigonometry rule make 30 degree angle

$tan\left ( 30\ \right )^{o}=\frac{p}{b}$

$\left ( \frac{1}{\sqrt{3}} \right )=\left ( \frac{x}{18+4} \right )$

or

$x\sqrt{3}=22$

than

$x=\frac{22}{\sqrt{3}}$

$=12feet$ $8 inch$ answer