Jordan is flying a kite, which gets caught in the top of a tree. The angle of elevation made by the string on the ground is 44 degrees. The distance from the bottom of the string to the base of three is 90 feet. What is the height of the tree​

87 Feet

Step-by-step explanation:

It's been a while since I used trigonometry, but here is what I got.

We know that 44 degrees in the angle from the string to the base of the ground.

We also know that the length from that angle to the base of the tree is 90 feet.

So using the SOH, CAH, TOA rule we know that to figure out the opposite side (x) length using the adjacent side (90) length we need to use tangent of 44 degrees.

The equation should be tan(44°) = x/90

Tan(44°)=0.96589

Now you multiply that number by 90 to find x.

Hope that helped, let me know if it did or not.

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: