Posted by **Anonymous** on Friday, April 10, 2009 at 4:59pm.

A lifeguard was staring at a ship in the distance, and watched the smokestack as the ship went out to sea. The lifeguard's eye level is 4 meters above sea level. If the height of the smoke stack above water is 30 meters and the radius of earth is about 6400km, how far off from the shore would the ship be when the lifeguard who loose sight of it.

how should I start this?

- calculus -
**Reiny**, Friday, April 10, 2009 at 5:10pm
I visualize a circle with radius 6400 and the ship at a point P.

let the eyes of the lifeguard be Q.

then Q is 6400.004 km from the centre of our earth circle.

let PQ = x

x^2 + 6400^2 = 6400.004^2

I got x = appr. 7.155 km

- calculus -
**Anonymous**, Saturday, April 11, 2009 at 8:50pm
the answer is suppose to be 2675.3

..

## Answer This Question

## Related Questions

- 11th grade - A lifeguard was staring at a ship in the distance, and watched the ...
- Pre-Calculus - During a storm a ship is being tossed up and down by huge waves. ...
- Math - This is a question regarding quadratic equations. I think I have to use ...
- Trigonometry - I have three questions that I need help to answer. 1) a balloon ...
- college algebra - on a ship, the distance d that you can see to the horizon is ...
- physical geography - If a ship's flag is 36' above sea level, could it be seen ...
- Physics - A catapult on a cliff launches a large round rock towards a ship on ...
- physics - A supertanker filled with oil has a total mass of 14.1·10^8 kg. If the...
- physics - A supertanker filled with oil has a total mass of 14.1·10^8 kg. If the...
- pre cal - NASA launches a rocket at t=0 seconds. Its height, in meters above sea...

More Related Questions