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alexandr1967 [171]
3 years ago
15

The shadow of a tree measures 25 feet from its base. The angle of elevation to the Sun is 31º How tall is the tree? Round your a

nswer to the
nearest foot

Mathematics
1 answer:
grigory [225]3 years ago
4 0

Answer: 15 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side

Where α is the angle of elevation to the sun, , the opposite side (x) is the height of the tree, and the adjacent side is the length of the shadow.

Replacing with the values given:  

Tan 31 = x /25

Tan 31 (25) =x

x = 15 feet

Feel free to ask for more if needed or if you did not understand something.  

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the accumulated at 4/5 inch/hour if the snow continues at this rate for 10 hours, how much snow will accumulate
vichka [17]

Answer:

8 inches

Step-by-step explanation:

4/5 * 10/1 = 40/5 = 8inches

7 0
3 years ago
The map shows a typical flight path between Seattle and London. Why does the path go over the Arctic? A) It is the shortest path
Triss [41]
The answer to the given question above would be option A. Based on the given map shown above which is a typical flight path between Seattle and London, the reason why the path goes over the Arctic is that, it is the shortest path. Hope this answers your question.
4 0
3 years ago
Read 2 more answers
There are 10 pencils in a desk. Ninety percent of the pencils are sharpened. Which equation can be used to find the number of sh
dezoksy [38]
Mc012-2.jpg ........................ 10/90%= 11.1111111111111 
5 0
3 years ago
Write a rule for the nth term of the arithmetic sequence. Then graph the first six terms of the sequence. a6=-12 a12=-36
denis-greek [22]

Answer:

We need to find the first term.  We can use the formula

an = a1 + d(n - 1)

to solve for a1.  We already know the 12th term, a12, common difference, d, and nth sequence, n.

a12 = -36

d = -4

n = 12

-36 = a1 - 4(12 - 1)

-36 = a1 - 44

8 = a1

The first term is 8.  Therefore, your formula is

an = 8 - 4(n - 1)

an = -4n + 12

Then use this formula to graph.

n is the independent variable.

an is the dependent variable.

Your graph will be a line.

n    |       an

___________

1          8

2          4

3          0

4         -4

5         -8

6         -12

Step-by-step explanation:

give me brainliest.

3 0
3 years ago
A baseball team played 154 regular season games. The ratio of the number of games they won to the number of games they lost was
faltersainse [42]

a.

Let

5x = number of games won

2x = number of games lost

The total number of win and lose is 154. So

5x + 2x = 154

Solving for x,

7x = 154

x = 22

Therefore, the number of games won is 5*22=110 and the number of games lost is 2*22 is 44.

b.

Let

6x = first side of the triangle

7x = second side of the triangle

9x = third side of the triangle

The perimeter of a triangle is the total of all sides. So,

6x + 7x + 9x = 88

22x = 88

x = 4

Therefore, the three lengths of the side are 6*4=24, 7*4=28, and 9*4 = 36

Read more on Brainly.com - brainly.com/question/872209#readmore

6 0
3 years ago
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