9514 1404 393
Answer:
152 feet
Step-by-step explanation:
A triangle modeling the situation has the unknown length as its hypotenuse, and the given platform height as the side opposite the angle. The relevant trig function is ...
Sin = Opposite/Hypotenuse
sin(30°) = (76 feet)/(escalator length)
escalator length = (76 feet)/sin(30°) = (76/0.5) feet
escalator length = 152 feet
