1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
miss Akunina [59]
3 years ago
9

Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14

yards long. Round to the nearest degree. o 54 degrees. o 36 degrees. o 46 degrees. o 44 degrees

Mathematics
2 answers:
Hitman42 [59]3 years ago
7 0

Answer:

The angle of elevation of the sun from the ground to the top of a tree is 36^{\circ}.

Step-by-step explanation:

As given

The sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.

Now by using the trignometric identity .

tan\theta =\frac{Perpendicular}{Base}

As figure is  given below .

AB =  Perpendicular = 10 yards

BC =  Base = 14 yards

Putting all the values in the trignometric identity .

tan\theta =\frac{AB}{BC}

tan\theta =\frac{10}{14}

\theta =tan^{-1}(\frac{10}{14})

\theta =36^{\circ}

Therefore the angle of elevation of the sun from the ground to the top of a tree is 36^{\circ}.

maria [59]3 years ago
3 0
Here is the solution of the given  problem above.
Given: Height of tree = 10 yards
Shadow of the tree = 14 yards
? = Angle of elevation of the sun from the ground to the top of the tree
In this problem, we are going to use the <span>inverse tangent trigonometric identity.
The correct answer would be 35.5 degrees. Round this off to the nearest degree and we get 36. Therefore, the correct answer would be 36 degrees.</span>
You might be interested in
Match each equation with its solution set.
taurus [48]

Answer:

1- The solution of I2x + 5I = 9 is {-7 , 2}

2- The solution of I2x + 7I + 2 = 11 is {-8 , 1}

3- The solution of I5 - xI = 6 is {-1 , 11}

4- The solution of I6x - 8I + 7 = 5 is ∅

5- The solution of Ix + 3I = 12 is {-15 , 9}

6- The solution of Ix - 3I = -12 is ∅

Step-by-step explanation:

* At first lets explain the meaning of IxI = a

- If IxI = a ⇒ then x = a or x = -a

- IxI never give a negative answer, because IxI means the

 magnitude of x is always positive

Ex: I-2I is 2

* Now lets find the solution of each equation

1- ∵ I2x + 5I = 9

∴ 2x + 5 = 9 ⇒ subtract 5 from both sides

∴ 2x = 4 ⇒ divide both sides by 2

∴ x = 2

OR

∴ 2x + 5 = -9 ⇒ subtract 5 from both sides

∴ 2x = -14 ⇒ divide both sides by 2

∴ x = -7

* The solution of I2x + 5I = 9 is {-7 , 2}

2- ∵ I2x + 7I + 2 = 11 ⇒ Subtract 2 from both sides

∴ I2x + 7I = 9

∴ 2x + 7 = 9 ⇒ subtract 7 from both sides

∴ 2x = 2 ⇒ divide both sides by 2

∴ x = 1

OR

∴ 2x + 7 = -9 ⇒ subtract 7 from both sides

∴ 2x = -16 ⇒ divide both sides by 2

∴ x = -8

* The solution of I2x + 7I + 2 = 11 is {-8 , 1}

3- ∵ I5 - xI = 6

∴ 5 -x = 6 ⇒ subtract 5 from both sides

∴ -x = 1 ⇒ divide both sides by -1

∴ x = -1

OR

∴ 5 -x = -6 ⇒ subtract 5 from both sides

∴ -x = -11 ⇒ divide both sides by -1

∴ x = 11

* The solution of I5 - xI = 6 is {-1 , 11}

4- ∵ I6x - 8I + 7 = 5 ⇒ Subtract 7 from both sides

∴ I6x - 8I = -2

- I  I never give negative answer

* The solution of I6x - 8I + 7 = 5 is ∅

5- ∵ Ix + 3I = 12

∴ x + 3 = 12 ⇒ subtract 3 from both sides

∴ x = 9

OR

∴ x + 3 = -12 ⇒ subtract 3 from both sides

∴ x = -15

* The solution of Ix + 3I = 12 is {-15 , 9}

6- ∵ Ix - 3I = -12

- I  I never give negative answer

* The solution of Ix - 3I = -12 is ∅

4 0
3 years ago
Domain and range of the function and it’s inverse
sineoko [7]

Answer:

B (second table in list)

Step-by-step explanation:

The function is a quadratic with vertex and y-intercept at (0,-2). The parabola opens up meaning only y - values above -2 are a part of the function. Since range is the set of all y values, then the range is y\geq -2.

The domain is not restricted and it is all real numbers.

The inverse of the function is where x and y are switched. So the range becomes the domain and vice verse.

This means the domain of the inverse is x\geq -2 and the range of the inverse is all real numbers.

8 0
3 years ago
100 BRAINLY POINTS!!!
BARSIC [14]

Answer:

C)   y=-0.5x+8

Step-by-step explanation:

Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.

All the given options for the line of best fit are linear equations.

Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above and below the line.

Linear equation:  y=mx+b

(where m is the slope and b is the y-intercept)

From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 8.  So this suggests that options C or D are the solution.

We can also see that the slope (gradient) of the line of best fit is approximately -0.5 (as the rate of change (y/x) is -1 unit of y for every +2 units of x).

Therefore, C is the solution, and the closet approximation to the line of best fit is y=-0.5x+8

4 0
2 years ago
Let p=x^2-2 which equation is equivalent to (x^2-2)^2+18=9x^2-18 in terms of p
Bad White [126]

Answer:

The equivalent equation is p^2 + 18 = 9p

Step-by-step explanation:

p is given by the following relation:

p = x^2 - 2

And we are given the following equation:

(x^2 - 2)^2 + 18 = 9x^2 - 18

On the right side, we can simplify. So

(x^2 - 2)^2 + 18 = 9(x^2 - 2)

Replacing x^2 - 2 by p, the equation is:

p^2 + 18 = 9p

6 0
3 years ago
Solve the system of Equations below using the substitution method
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

Gffggfhhgghggjjbgg

8 0
3 years ago
Other questions:
  • you need to count all of the loaves of bread in the front area. there are 22 loaves of white bread, 17 loaves of wheat bread, an
    15·1 answer
  • What is the GCF of 36 and 84
    14·2 answers
  • What does sin on a calculator stand for
    14·2 answers
  • 4k/19m simplify this fraction
    5·2 answers
  • Exactly one of the die is a four
    9·1 answer
  • X+y=5.5<br> 2x+y=7 (process of elimination )plz help :)
    7·2 answers
  • A copy machine can print 480 copies every 4 minutes. How many copies can it print in 10 minutes? :)
    13·1 answer
  • Juan wants to find out the percentage of students in his middle school who like to watch soccer. Which of the following strategi
    5·1 answer
  • The Future Government Club wants to sponsor a panel discussion on the upcoming national election. The club wants four of its mem
    11·1 answer
  • What is the following product?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!