# Math

I am terrible at ellipse
The base of an auditorium is in the form of an ellipse 200ft long and 100 ft wide. A pin dropped near one focus can clearly be heard at the other focus. Determine the distance between the foci to the nearest tenth of a foot. Show each step.

1. 👍 0
2. 👎 0
3. 👁 6,374
1. You have
a = semi-major axis = 100
b = semi-minor axis = 50
a^2 = b^2+c^2
where c is the distance from the center to the focus.

Find c, and then the distance between the foci is 2c.

1. 👍 1
2. 👎 0

## Similar Questions

1. ### Math (arithmetic)

The total seating capacity of an auditorium is 1,065. The first row has 21 seats arithmetic series and each row has one seat more than the row in front of it. How many rows of seats are there in the auditorium?

2. ### Math

A fireplace arch is to be constructed in the form of a semi ellipse. The opening is to have a height of 3 feet at the center and a width of 8 feet along the base. The contractor cuts a string of a certain length and nails each end

3. ### Trigonometry

An elliptical arch is constructed which is 6 feet wide at the base and 9 feet tall in the middle. Find the height of the arch exactly 1 foot in from the base of the arch. looking for direction with what ellipse equation is and how

4. ### Math

An auditorium has 50 rows of seats. The first row has 20 seats, the second row has 21, the third row has 22 seats, and so on, each row having one more seat than the previous row. How many seats are there all together? a. write 2

1. ### chemistry

What is the general form for the simplest type of acid-base reaction? A. acid + base salt + water B. acid + base base + acid C. acid + base H+ + OH- D. acid + base solid + water

2. ### Math

In an auditorium, 1/3of the 900 seats are empty and 2/3of the total seats (900)are filled after 1 hour. Then, the auditorium is

3. ### Calc

Oscar Corporation is planning to construct an elliptical gate at its headquarters. The width of the ellipse will be 5 feet across and its maximum height along the center will be 3 feet. The company wants to place two bright spots

4. ### Algebra

John is planning to build an arched trellis for the entrance to his botanical garden. The arch is to be in the shape of the upper half of an ellipse that is 4 feet wide at the base and 7 feet high. Find the equation for the

1. ### math

Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. (2,0), (0,3/2), (-2,0), (0,-3/2)

2. ### Math

If there are 118 rows in the auditorium and 29 people sit in each row how many people are in the auditorium

3. ### precalc

Write the equation of the ellipse in standard form: 4x^2-9y^2-40x+36y+100=0

4. ### mathes

An arch is in the form of a semi ellipse.it is 50m wide at the base and has ahight of 20m.how wide is the arch at the height of 10m above the base?