Question

1.what is the question of f(x)

2. Height of the tunnel if the road is 14ft wide by 7 ft shoulders

Answer 1

Question 1

f(x) = 19 sin(x
`\pi`/38)

Question 2

f( 7) = 10.39ft

f(24) = 17.4ft

Explanation:

f(x) = a sin(x+s)

x = opening length

a = amplitude

s = shift

Question 1

using half of sine

x = opening = 38ft wide

s = 19

f(x) = 19 sin(x
`\pi`/38)

Question 2

road width = 7 + 17 + 7 = 31

height at x = 7 or at x = 7 + 17 = 24

f( 7) = 19 sin(7 π/38) = 10.39ft

f(24) = 19 sin(24 π/38) = 17.4ft