I have to write a quadratic equation for this word problem. Also provide an explanation because I'm confused...

You are riding a ski lift at a position 57 feet off the ground. You spot one of your friends skiing below. To get his attention you chuck a snowball at him. How long will it take to hit your friend's head who is 42 feet below? Your friend is 5 1/2 feet tall.

Is about 8.156

Step-by-step explanation:

Since you know that it is 42 feet below but you have to subtract 5.5 feet which is 36.5 feet. Since gravity is 4.476 then divide 36.5 divided by 4.476

question:

could we have options?

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,