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inysia [295]
2 years ago
8

An escalator lifts people to the second floor of a building, 25 ft above the first floor. The escalator rises at a 30o angle. To

the nearest foot, how far does a person travel from the bottom to the top of the escalator?
a) 50 ft
b) 43 ft
c) 87 ft
d) 25 ft
Mathematics
1 answer:
melamori03 [73]2 years ago
6 0

Answer:

a person travel 50 ft from the bottom to the top of the escalator

Step-by-step explanation:

An escalator lifts people to the second floor of a building, 25 ft above the first floor. The escalator rises at a 30 degree angle

The escalator forms a right angle triangle

opposite to 30 degree angle is 25 feet. to find the distance from the bottom to the top of the escalator we find the hypotenuse

let x be the hypotenuse

sin(theta)=\frac{opposite}{hypotenuse}

sin(30)=\frac{25}{x}\\x sin(30)= 25\\x=\frac{25}{sin(30)} \\x=50\\

a person travel 50 ft from the bottom to the top of the escalator

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