# Math C30 ( trig )

posted by .

A roof in the shape of an upside down cosine wave is to be buile to cover an arena. The arena is 24m wide, the height of the roof at either side wall is 5m, and the maximum height of the roof is 9m.
A) write a function that gives the height of the roof in terms of your distance from the left wall.
B) what is the height if the roof 10m from the left wall?

• Math C30 ( trig ) -

The description is vague "cosine wave"

at x=-12, y=5, at x=0, y=9, at x=12, y=5

y= 5 + 4 cos((x-12)/48)

check that.

## Similar Questions

1. ### Math

To reduce the loading from snow on the roof, a ski chalet design calls for the roof slope to be 36 degrees from vertical. If the width of the base is 14.0 m, what is the slant height of the roof?
2. ### geometry

The center of a circular sports arena is 360 ft away from the wall surrounding the arena. What is the area of the sports arena?
3. ### MATH C30

A roof in the shape of an upside down cosine wave is to be built to cover an arena. The arena is 24 m wide, the height of the roof at either side wall is 5 m, and the max height of the roof is 9m . write the function that gives the …
4. ### physics

Hypothetically a pebble rolls off the roof edge of Golden Eagle Arena and falls vertically. Just before it reaches the ground, the pebble's speed is 17 m/s. Neglect air resistance and determine the height of Golden Eagle Arena's roof …
5. ### physics

Hypothetically a pebble rolls off the roof edge of Golden Eagle Arena and falls vertically. Just before it reaches the ground, the pebble's speed is 17 m/s. Neglect air resistance and determine the height of Golden Eagle Arena's roof …
6. ### trigonometry

A carpenter is building a house. He is constructing the roof. The roof has an angle of elevation of 40° from the horizontal. The height he wants to make the roof is 18 feet. How far is it from the bottom edge of the roof to the top …
7. ### physics

A large building has an inclined roof. The length of the roof is 69.5 m and the angle of the roof is 18.0° below horizontal. A worker on the roof lets go of a hammer from the peak of the roof. Starting from rest, it slides down the …
8. ### Southern Union

A large building has an inclined roof. The length of the roof is 64.0 m and the angle of the roof is 20.0° below horizontal. A worker on the roof lets go of a hammer from the peak of the roof. Starting from rest, it slides down the …
9. ### Algebra 1--Please, help me!

The side of a trinagular roof is to have the same height h and base b^2 as the side of a trapezodial roof. a. What is the ratio of the area of the triangular roof to the area of the trapezoidal roof?
10. ### Algebra 1--Please, help me!

The side of a trinagular roof is to have the same height h and base b^2 as the side of a trapezodial roof. a. What is the ratio of the area of the triangular roof to the area of the trapezoidal roof?

More Similar Questions