Mathematics, 01.07.2019 18:00 irishdreamer0689

The angle of elevation to the top of a building in new york is found to be 11 degrees from the ground at a distance of 1 mile from the base of the building. using this information, find the height of the building.

Answers: 1

Show answers

Answers

Imagine a diagram depicting this problem. On the diagram is a line drawn from the *bottom* of the building to a point on the ground exactly 1 mile away. There is also a line drawn from the *top* of the building to that same point. A triangle is formed by the two lines and the wall of the building.

From that single point are two lines branching out to form an angle, a.k.a. the angle of elevation.

The angle of elevation is given as 11 degrees. I am assuming you are learning about sin, cosine, and tangent; you can solve the equation using just one of these functions.

The question is asking you to find the height of the building. If you think of this problem like a triangle, you are literally finding the height of the triangle. The height of the triangle is going to be opposite to the angle of elevation. The base of the triangle, or the bottom, is known to be 1 mile.

Sin = opposite/hypotenuse
Cos = adjacent/hypotenuse
Tan = opposite/adjacent

These functions can help us calculate the relationships between side lengths and angle values.

"Adjacent" refers to a side length touching your angle. 1 mile is a side length that touches the 11 degree angle of elevation. Because we are dealing with opposite and adjacent, we can use tan to solve our problem.

Pair tan with your given angle.

Tan11 = $\frac{x}{1mile}$

We are trying to get x by itself, because it represents the opposite length, a.k.a. the height of the building.

Use your calculator (or website) to find the inverse of tan11 degrees . Make sure you are calculating in degrees.

inverse tan11 degrees times 1 mile = $\frac{x}{1mile}$ times 1 mile

Multiply both sides by the denominator to get x by itself.

If you calculate correctly, you should get 0.19438031 as an answer. Therefore, the height is 0.19438031 times the base length. 1 mile, or 5,280 feet times 0.19438031 roughly equals 1026.33 feet. Or, the answer could simply be 0.19438031 miles.

Answer from: Quest

.24

step-by-step explanation:

the probability is .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw

Answer from: Quest

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range:

Another question on Mathematics

Mathematics, 21.06.2019 13:40

Aparallel system functions whenever at least one of its components works. consider a parallel system of n components, and suppose each component works independently with probability 0.5. find the conditional probability that component n works given that the system is working

Answers: 3

Answer

Mathematics, 21.06.2019 20:00

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Answers: 2

Answer

Mathematics, 21.06.2019 20:00

Which of the following is the inverse of y = 3∧x y = 1/3∧x y = ㏒3x y = (1/3) ∧x y = ㏒ 1/3∧x

Answers: 1

Answer

Mathematics, 21.06.2019 20:00

Anyone? 15m is what percent of 60m; 3m; 30m; 1.5 km?

Answers: 1

Answer

You know the right answer?

The angle of elevation to the top of a building in new york is found to be 11 degrees from the groun...