Here is part of a train timetable: a)
Westchester
06 00
06 30
08 15
A train leaves Westchester at
06 30. What time should it
arrive at Middlewich?
Northton
06 12
06 42
08 27
b)
Middlewich
06 21
06 51
08 36
Kate lives in Northton.
She works in Southam and
starts work at 9am.
What is the time of the latest
train that she can catch to get
to work on time?
Eastwick
06 34
07 04
08 49
Southam
06 49
07 19
09 04
c) How long does the train take to
travel from the Westchester to
Eastwick?

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation:

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft