ANSWER
D.

EXPLANATION
The standard equation of the hyperbola is

We multiply through by 36 to obtain:

We now expand to get,

Expand :

To get the general form, we equate everything to zero to get,

The correct choice is D.
Since the question is asking how fast he is driving, we need to find his speed in miles per hour. To do this, you need to divide the amount of miles he drove by the amount of hours it took. When you do 412.5/7.5, you get the answer of 55 miles per hour.
Answer:
See solutions below
Step-by-step explanation:
From the given diagram;
AC = opposite
AB = 7 = hypotenuse
Angle of elevation = 70 degrees
Using SOH CAH TOA
Sin theta = opp/hyp
Sin theta = AC/AB
Sin 70 = AC/7
AC = 7sin70
AC = 7(0.9397)
AC = 6.58
Similarly
tan 70 = AC/BC
tan 70 = 6.58/BC
BC = 6.58/tan70
BC = 6.58/2.7475
BC = 2.39
tan m<A = BC/AC
tanm<A = 2.39/6.58
tan m<A = 0.3632
m<A = 19.96degrees