The height of a seat on a Ferris wheel can be modeled as H (t) = 48 sin (pi/30t + 3pi/2) + 53, where t is time in second and H(t) is height in feet.

How far off the ground is a seat when it is at the top of the Ferris wheel?

A. 53 feet
B. 96 feet
C. 101 feet
D. 106 feet

answer is c

step-by-step explanation:

81/12=324/x

x=48

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.