CPhill

The slope of the first line = 8 = the slope of the desired line....so we have

y-5 = 8(x - 0)

y = 8x + 5     and in Standard Form, we have

8x - 1y = -5

Ah.....thanks, Dragonlance.....I'll make the correction!!!!!

23.8   = 23 + 8/10   = 23 + 4/5   =  119/5

I assume this is......  (1/8)w = 14

Multiply both sides by 8

w = 112

4√2 * 2√6   =

8√12  =

8*√4 *√3  =

8 *2 * √3 =

16√3

√[72 x^3)  =

√[36 *2] * √x^3  =

6√2  *  x√x  =

(6x) * √[2x]

Plot the point (0, 0) on the graph

Since the slope is -1/45, this means that when y changes by - 1, then x changes by 45...so.....

Plot the point (45, -1)  .......draw a line through both of these plotted points......voila !!!  ....there's the graph!!!

Call the distance to the westernmost building = x   ......and call the height of both buildings = h

So we have, with the respect to the westernmost building.....

tan 30  =  h/x     solving for h, we have ...... h = x * tan 30

And with respect to the easternmost building, we have

tan 45  = h/(500 - x)   =  x *tan(30)/ (500 - x)     simplify

tan 45/ tan 30  = x / (500 - x)

1/ [1/ √3] =  x/ (500 - x) 

√3  = x / (500 - x)   

√3(500 - x)  = x

√3*500 = x(1 +√3)

x = (√3)500/(1 +√3)    =    about 317 ft ....and this is the distance to the westernmost building

And  the distance to the easternmost building is  (500- x) ft = (500 - 317)ft =  about 183 ft

We need to find out how long it takes the ball to reach the fence....so we have :

132 = 44cos(30)*t    simplify

132 = 44 [√(3) / 2] * t  =

132 = 22√(3) *t            divide both sides by 22√(3)

132/22√(3) = t = 3.46 sec to travel to the fence

And the height ( y ) at that point is given by:

y = 44(3.46)sin(30) - 4.9(3.46)^2 + 1 = about 18.46 m

So....the ball clears the fence by  (18.46 - 5)m = 13.46m

[ Alan, could you make sure this one is correct ??? ]

[Thanks to Dragonlance for pointing out my earlier error ....!!!]

LOL, Anonymous  !!!!.....If I could, I'd give you 6 points for that answer!!!  [However.....you must be registered to accumulate any points....just a thought....  ]