Two airplanes leave the airport. plane a departs at a 41° angle from the runway, and plane b departs at a 43° from the runway. which plane was farther away from the airport when it was 5 miles from the ground? round the solutions to the nearest hundredth.
plane a because it was 7.62 miles away
plane a because it was 6.63 miles away
plane b because it was 6.84 miles away
plane b because it was 7.33 miles away

y=mx+

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