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Nataliya [291]
3 years ago
11

Autumn measures the angle of elevation from the ground to the top of an 18-foot tall tree as 27°. To the nearest tenth of a foot

, how far is she from the tree?
Mathematics
1 answer:
leonid [27]3 years ago
7 0

Answer: she is 35.3 feet from the tree.

Step-by-step explanation:

Assuming her line of sight to the top of the tree is a straight line, then a right angle triangle is formed. The height of the tree, h represents the opposite side of the right angle triangle. Her distance, h from the tree represents the adjacent side of the right angle triangle. To determine h, we would apply the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side. Therefore,

Tan 27 = 18/h

h = 18/tan27 = 18/0.51

h = 35.3 feet

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Find the sum of 10 x 2 + 7 x + 6 10x 2 +7x+6 and 6 x + 5 6x+5.
dusya [7]

The sum of the given expression expressed as a quadratic equation is 10x^2 + 13x + 11

<h3>Sum of expressions</h3>

Expressions are equations separated by mathematical signs. This expressions are known to contains certain unknowns

Given the following expression

10x^2 +7x+6 and 6x + 5

We are to take the sum of both expression to have:

f(x) = 10x^2 +7x+6 + 6x + 5

Collect the like terms

f(x) = 10x^2 + 7x + 6x + 6 + 5

f(x) = 10x^2 + 13x + 11

Hence the sum of the given expression expressed as a quadratic equation is 10x^2 + 13x + 11

Learn more on sum of functions here: brainly.com/question/11602229

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8 0
1 year ago
Two mechanics worked on a car. The first mechanic worked for 5
ArbitrLikvidat [17]

<u>Answer:</u>

$50 and $115

<u>Step-by-step explanation:</u>

We know that,

the sum of the two rates = $165 per hour

Let x and (165 - x) represent the $/hour of the 15hr and 5hr mechanics respectively.

Then combining their charges together to get:

(x*15)hour+(165-x)*5 hour=1325

Solving for x to get:

15x-5x+825=1325

10x=500

x=50

So the rate charged per hour by one mechanic is $50 and for the other mechanic = (165-50)= $115.

8 0
3 years ago
Plzzz help will give brainlist, and im stuck on the answer
MakcuM [25]

Answer:

Likely

Step-by-step explanation:

0.90 is also equal to 90% which is very likely to happen.

6 0
2 years ago
The following data show the number of cars passing through a toll booth during a certain time period over 15 days. 18 19 17 17 2
IgorLugansk [536]

Answer: <em>third from the top</em>

Step-by-step explanation:

<em>The correct answer is third from the top.</em>

<em>Arranging numbers in ascending order: </em>

<em>15 17 17 17 18 18 18 19 19 19 21 21 22 23 24</em>

<em>Let's count how many times each number occurs in this series of numbers.</em>

<em>row of numbers</em>

<em>15 </em>+

<em>16 not</em>

<em>17 </em>+ + +

<em>18 </em>+ + +

<em>19 </em>+ + +

<em>20 not</em>

<em>21 </em>+ +

<em>22 </em>+

<em>23 </em>+

<em>24 </em>+

<em>25 not</em>

6 0
3 years ago
Which explains, on a given day, which island is more likely to have a wind speed close to its median? Country A because the medi
Leya [2.2K]

Answer:b

Step-by-step explanation:

8 0
3 years ago
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