A tunnel with a parabolic arch is 12m wide. If the height of the arch 4m from the left edge is 6m, can a truck that is 5m tall and 3.5 m wide pass through the tunnel?

Question

Felipe

Mathematics

27 May, 22:14

A tunnel with a parabolic arch is 12m wide. If the height of the arch 4m from the left edge is 6m, can a truck that is 5m tall and 3.5 m wide pass through the tunnel?

+3

Answers (1)

Know the Answer?

Branson Manning · Answer 1

Yes, here is the explanation:

y = - 3/16 x (x-12)

5 = - 3/16x (x-12)

16*5 = - 3/16*16x (x-12)

80 = - 3x^2 + 36x

3x^2 - 36x + 80 = 0

a = 3, b = - 36, c = 80

x = - (-36) + / - √ (-36) ^2 - 4 (3) (80) / 2 (3)