Oh man stands on his balcony 120 feet above the ground he looks at the ground this site line forming a angle of 50° with the building and sees a bus stop the function d = 120 sec models the distance from the man to any object given his angle of sight 0. how far is the bus stop from the man.

The bus stop is approximately 186.687 feet far from the man.

Step-by-step explanation:

Here, the given function that shows the distance from the man to any object in the ground,

Where, is the angle of his site line.

Given,

The site angle of man is 50° when he sees a bus stop,

That is,

Hence, the distance of bus stop from the man is,

Hence, the bus stop is approximately 186.687 feet far from the man.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %