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Andrej [43]
3 years ago
9

The sun is 24 degreesabove the horizon. It makes a 51 m long shadow of a tall tree. how talll is the tree

Mathematics
1 answer:
Advocard [28]3 years ago
8 0

Answer:

The tree is approximately 22.707 meters tall.

Step-by-step explanation:

The geometric diagram of the problem is included below as attachment. The height of the tree is found by means of trigonometric functions:

\tan \alpha = \frac{h}{w}

Where:

\alpha - Elevation angle, measured in sexagesimal degrees.

h - Height of the tree, measured in meters.

w - Length of the tree shadow, measured in meters.

The height of the tree is cleared in the equation:

h = w\cdot \tan \alpha

If w = 51\,m and \alpha = 24^{\circ}, the height is:

h = (51\,m)\cdot \tan 24^{\circ}

h \approx 22.707\m

The tree is approximately 22.707 meters tall.

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a landscaping company counted 51 invoices for tree services at the end of the month. they charge $375 for a tree installation an
Radda [10]

We used the elimination method to find the ordered pair, (x,y), that represents the situation is (12,39).

Number of invoices = 51

Charge for tree installation = $375

Charge for tree trimming = $54

Total amount in invoices = $6,606

Let x and y represent number of installations and number of trimmings respectively.

Hence,

x + y = 51  ...(1)

375x + 54y = 6606

3 (125x + 18y) = 3*2202

125x + 18y = 2202  ...(2)

Multiplying (1) by 18, we get

18x + 18y = 918  ...(3)

(2) - (3)

107x + 0 = 1284

x = 1284/107 = 12

Hence,

y = 51 - 12 = 39.

To learn more about elimination method, here:-

brainly.com/question/13877817

#SPJ4

3 0
1 year ago
Answers for the 2 boxes please ​
pochemuha
(-3,-6) this is the answer you can also double check by plugging it into a calculator
6 0
3 years ago
Owen is signing up for a gym membership with a one-time fee to join and then a
Katena32 [7]
The cost of the monthly fee is 50$.. if the joining fee is 100.. take 200 and subtract that fee since it is included in the total. You’re left with 100. Note, the 200 is calculated for a 2 month period, so split the remaining 100 ,from the total 200, into 2. You’re left with 50 each month.

T=(C-100)/2 (T being 1 month) (C being the total cost/200)

Hopefully

3 0
3 years ago
Kenny's weight is 6/7 times melvin's weight. what is the ratio of melvin's weight to the total weight of the two boys?
dangina [55]
Answer=7:13

Kenny's Weight*6/7=Melvin's Weight

So, for example, if Melvin's weigh was 7...

Kenny's Weight*6/7=7
divide both sides by 6/7
Kenny Weight=6

So we can say that Melvin's weight to Kenny's weight is 7:6

The boys total weights would be...
7+6=13


So Melvin's weight over the total weight of the two boys is:

7:13
4 0
3 years ago
Read 2 more answers
The function h ( x ) = 1 x − 1 h ( x ) = 1 x - 1 can be expressed in the form f ( g ( x ) ) f ( g ( x ) ) , where g ( x ) = ( x
Radda [10]

Answer: f(x) = 1^(x + 1)

Step-by-step explanation:

we have that h(x) = 1^x

and h(x) = f(g(x))

This mean that we are evaluating the function f(y) in the point y = g(x)

where g(x) = x - 1

then:

f(g(x) = f(x - 1) = h(x) = 1^x

then we should have that:

f(x) = 1^(x + 1)

then:

f(x - 1) = 1^(x - 1 + 1) = 1^x

4 0
3 years ago
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