325 meters if using full height of 324 meters for tower
277 meters if using observation platform height of 276 meters.
When the depression is 37 degrees, you can create a right triangle with the angles 90, 37, and 53 degrees. The distance from a point directly underneath the observer will be:
h/tan(37)
where
h = height of the observer.

And when the depression is 72 degrees, the distance will be:
h/tan(72)
So the distance between the two points will be the absolute value of:
h/tan(72) - h/tan(37)
=(tan(37)h)/tan(37)tan(72) - tan(72)h/(tan(37)tan(72))
=(tan(37)h - tan(72)h) /(tan(37)tan(72))
=h(0.75355405 - 3.077683537)/(0.75355405 * 3.077683537)
=h(0.75355405 - 3.077683537)/(0.75355405 * 3.077683537)
=h(-2.324129487/2.319200894)
=h*-1.002125125

And since we're looking for absolute value
=h*1.002125125

As for the value of "h" to use, that's unspecified in the problem. If you take h
to be the height of the Eiffel Tower, then it's 324 meters. If you take h to be
the highest observation platform on the Eiffel Tower, then it's 276 meters. In
any case, simply multiply h by the value calculated above:
=h*1.002125125
=324*1.002125125
= 324.6885406 m

=h*1.002125125
=276*1.002125125
=276.5865346

6 0

4 years ago

If a car can drive 62 miles on 3 gallons of gas, how many gallons of gas will it use to travel 231 miles?

aksik [14]

Answer:

11 gallons of gas is needed to travel 231 miles.

Step-by-step explanation:

We can set up a proportion for this problem.

<em>For every 62 miles, you use 3 gallons of gas. </em>

$\frac{62}{3}*\frac{231}{?}$