A airplane is flying at 300 mi/h at an altitude of one mile and passes directly over a station at t=0?

Question

(a) Express the horizontal distance d (in miles) that the plane has flown as a function of t.

(b) Express the distance s between the plane and the radar station as a function of d.

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

know part (a) is 300 t, but i need help with b and c

Answer 1

(b) Use the Pythagorean theorem.

The square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides

Assume that the base of the triangle is 1mile, d is the height, and the hypotenuse is s:

s^2=1^2+d^2

s=sqrt(1+d^2)

(c) s=sqrt(1+9000t^2)

Answer 2

b) rt(1+d^2) Use right angled triangle.

c) s = rt{1+90000t^2}

Simple!