An airplane is flying at a speed of 500 mi/h at an altitude of one mile. The plane passes directly above a radar station at time t = 0. (a) Express the distance s (in miles) between the plane and the radar station as a function of the horizontal distance d (in miles) that the plane has flown.
s(d) =
(b) Express d as a function of the time t (in hours) that the plane has flown.
d(t) =
(c) Use composition to express s as a function of t.
s(t) =

a)

b)d(t)=500t

c)

Step-by-step explanation:

d = Horizontal distance

s = the distance between the plane and the radar station

The horizontal distance (d), the one mile altitude, and s form a right triangle.

So, use Pythagoras theorem

a)

(b) Express d as a function of the time t (in hours) that the plane has flown.

d(t)=500t

(c) Use composition to express s as a function of t.

using b

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

you already gave the answer

step-by-step explanation: