Answer:
<em>The height of the monument is 124.8 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
The ratios of the sides of a right triangle are called trigonometric ratios. The tangent ratio is defined as:
The figure attached below shows the different distances involved in the problem. We heed to find the value of h, the height from Daniel's eyes. Then we'll add it to the 6 ft where his eyes are located from the ground.
Taking the angle of 68° as a reference:
Solving for h:
Calculating:
h = 118.8 ft
The height of the monument is 118.8 ft + 6 ft = 124.8 ft
Use calculating software for the quickest answer. The answer would be yes with a rate of increase of 1.75
Answer:
is at a distance of 722 feet
Step-by-step explanation:
we have the angle that forms between the water and the imaginary line between the ship and the tip of the statue
we have the statue height that would be the opposite leg to our angle and we want to know the distance of the ship to the statue that would be the adjacent leg
we see that it has (angle, adjacent, opposite)
well to start we have to know the relationship between angles, legas and the hypotenuse
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
it's the tangent
tan α = o/a
we replace the values and solve
tan α = o/a
tan 22.9 = 305/a
a = 305/tan22.9
a = 305/0.4224
a = 722
is at a distance of 722 feet
Answer:
a) 29.23% probability that a randomly selected home run was hit to right field
b) 29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes. It is said to be unusual if it is lower than 5% or higher than 95%.
(a) What is the probability that a randomly selected home run was hit to right field?
Desired outcomes:
19 home runs hit to right field
Total outcomes:
65 home runs
19/65 = 0.2923
29.23% probability that a randomly selected home run was hit to right field
(b) Was it unusual for this player to hit a home run to right field?
29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.
We have been given that Judy’s brother Sam has a collection of 96 comic books. We have been asked to find the 10 ways Sam could divide his comic books into equal groups.
This can be done as follows:
96 can be written as 
. Thus, we can either have 2 groups of 48 comics or 48 groups of 2 comics. As we can see we have 2 ways to divide the comic books in equal groups.
Likewise, 96 can also be written as 
. Here, we can similarly see that we can either have 3 groups of 32 comics or 32 groups of 3 comics. As we can again see we have 2 more ways to divide the comic books in equal groups, taking the total number of ways to 4.
Continuing in this manner we will see that we can have 4 groups of 24 or 24 groups of 4, 6 groups of 16 or 16 groups of 6 and lastly 12 groups of 8 or 8 groups of 12 comic books, thus taking the count to a <u>total of 10 ways</u> in which Sam can divide his comic books into equal groups.
Our question has been answered.
