Elliott is standing at the top of a store escalator that leads to the ground floor below. the angle of depression from the top of the escalator to the floor is 42.51°, and the escalator is 16 feet long. how far is the top of the escalator from the ground floor? round your answer to the nearest foot. 41 feet 17 feet 12 feet 11 feet

answer:

the answer to your question is: 12 ft

step-by-step explanation:

see the picture below

data

ф = 42.51°

long = 16 feet

distance from the top to the ground = x = ?

formula

cosф = opposite side / hypotenuse

opposite side = hypotenuse x cosф

x = 16 x cos 42.51

x = 16 x 0.74

x = 11.79 ft ≈ 12 ft

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation: