Derek is hang gliding on a clear day at an altitude of a feet. His visibility, v, is 67.1 mi. Use the formula v = 1.225 to find the altitude at which Derek is hang gliding.

Derek is hang gliding on a clear day at an altitude of a feet His visibility v is 671 mi Use the formula v 1225 to find the altitude at which Derek is hang glid class=

Respuesta :

Step-by-step explanation:

since the equation is v = 1.225 × sqrt(a)

we can plug in the known values to find the altitude.

so:

(67.1/1.225)^2 = a

a = 3000

Base on the visibility formula v = 1.225√a, the altitude at which Dereck is hang gliding is 7.4 miles

How to find altitude using visibility formula?

The visibility formula is given as follows:

v = 1.225√a

where

  • a = altitude
  • v = visibility

Therefore,

v = 67.1 miles

v = 1.225√a

67.1 = 1.225√a

divide both sides by 1.225

√a = 67.1 / 1.225

√a = 54.7755102041

square both sides

√a² = √54.7755102041

a = 7.40104789878

a = 7.4 miles

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