We know that
tan ∅=opposite side angle ∅/adjacent side angle ∅
in this problem
opposite side angle ∅=150 ft
adjacent side angle ∅=120 ft
∅=angle of elevation
so
tan ∅=150/120--------> 1.25
∅=arc tan(1.25)---------> ∅=51.34°
the answer is
51.34°
Answer:
The probability that another accident will occur that same month = 0.44907
Step-by-step explanation:
Let consider X to be the random variable that follows an exponential distribution with a mean of 52.
The mean of the exponential distribution
Thus, the probability distribution of X is:
Suppose X represents the time interval between the accident that happened in October 1 and the following accident.
Then, the probability that another accident will occur in the same month is the same as the event that the time between the two accidents are less than 31 (given that the month of October have 31 days)
Thus, we can calculate the required probability as follows:
Thus, the probability that another accident will occur that same month = 0.44907
Bob has 27 books.
Charles has two thirds as many books as Bob.
Charles has 18 books.
Jim has three times as many books as Charles.
Jim has 54 comic books.
Angle A is 73 degrees.
This can be found by using the values for both angles and setting them equal to 180. Since they are alternating interior angles of intersections of parallel lines, they must equal 180.
6x - 35 + 3x + 53 = 180
9x + 18 = 180
9x = 162
x = 18
Since x = 18 we can place that into the equation for angle A in order to find it's value alone.
6x - 35
6(18) - 35
108 - 35
73