How high should the engineer make the hill?

The height of hill is 125 feet.

Step-by-step explanation:

Given that velocity of the rollercoaster is

Where, is initial velocity and h is height from top of hill.

and v is velocity at height h.

Initial Velocity is 10feet/sec at top of hill.

Also, Velocity at bottom of the hill is 90feet/sec.

Therefore, the value of h at top of the hill is h=0 and value of h at bottom of the hill is h=h

8100=100+64h

8000=64h

h=125 feets.

Thus, The height of hill is 125 feet.

1. 34

2. 268

3. x=14.4

step-by-step explanation:

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl