An escalator lifts people to the second floor of a​ building, 30 above the first floor. The escalator rises at a 30 angle. To the nearest​ foot, how far does a person travel from the bottom to the top of the​ escalator?

Respuesta :

Answer:

[tex]d=60ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height [tex]h= 30ft[/tex]

Angle [tex]\theta=30 \textdegree[/tex]

Generally the equation for Distance traveled is mathematically given by

Since

Distance traveled forms the hypotenuse of a right angle triangle

Therefore

 [tex]d=\frac{h}{sin30}[/tex]

 [tex]d=\frac{30}{sin30}[/tex]

 [tex]d=60ft[/tex]

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