At 425 feet tall, the Orlando Starflyer is one of the tallest structures in Florida and the tallest Starflyer in the world, standing 25 feet higher than the Orlando Eye on International Drive. The image below shows the position of one swing at two different speeds. Which rider, A or B, is farther from the base of the swing tower?

Rider B is farther from the base of the Starflyer by the Hinge Theorem

Step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places