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
Mama L [17]
3 years ago
13

A tree casts a 12 foot shadow while the sun is at an angle of elevation of 58º. Use

Mathematics
1 answer:
Shkiper50 [21]3 years ago
3 0

The height of tree is 32 meter

<em><u>Solution:</u></em>

Given that,  The sun is at an angle of elevation of 58 degree

A tree casts a shadow 20 meters long on  the ground

The sun, tree and shadow forms a right angled triangle

The figure is attached below

ABC is  a right angled triangle

AC is the height of tree

AB is the length of shadow

AB = 20 meters

Angle of elevation, angle B = 58 degree

By definition of tan,

tan \theta = \frac{opposite}{adjacent}

In this right angled triangle ABC,

opposite = AC and adjacent = AB

Therefore,

tan\ 58 = \frac{AC}{AB}\\\\tan\ 58 = \frac{AC}{20}\\\\1.6 = \frac{AC}{20}\\\\AC = 1.6 \times 20\\\\AC = 32

Thus height of tree is 32 meter

You might be interested in
6x(4²-9) help please
Anastasy [175]
The answer will be 42x. Can I have brainliest if you don’t mind?
5 0
2 years ago
Write the linear equation that gives the rule for this table.
Maksim231197 [3]

to get the equation of any straight line all we need is two points, well, let's just grab them from the table.

hmmm let's use (-49 , -39) and hmmm say (67 , 77)

(\stackrel{x_1}{-49}~,~\stackrel{y_1}{-39})\qquad (\stackrel{x_2}{67}~,~\stackrel{y_2}{77}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{77}-\stackrel{y1}{(-39)}}}{\underset{run} {\underset{x_2}{67}-\underset{x_1}{(-49)}}}\implies \cfrac{77+39}{67+49}\implies \cfrac{116}{116}\implies 1

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-39)}=\stackrel{m}{1}(x-\stackrel{x_1}{(-49)}) \\\\\\ y+39=1(x+49)\implies y+39=x+49\implies y=x+10

8 0
2 years ago
I NEED HELP QUICKLY
son4ous [18]
His score was 40 each question was worth 5 points
8 0
3 years ago
HELP ASAP will give brainlist
kondor19780726 [428]
You use 360 and then minus other numbers
4 0
3 years ago
Jessie ran 4 miles in 1 hour. How long did it take Jessie to run one mile?
Andrej [43]

Answer:

She ran 1 mile in 15 minutes.

Step-by-step explanation:

1 hour = 60 minutes 60 / 4= 15

4 0
3 years ago
Other questions:
  • A store makes a profit of $115 on a wallet and then marks up 75%. What is the selling price of the wallet? plzz answer
    8·1 answer
  • 3 people are sharing 2/3 of a pizza what's equal sized portion of the whole pizza will each of the three people receive​
    14·1 answer
  • If u have 3/4 cups of flour, how many 8th do u have
    12·1 answer
  • Write a ratio for the follow description : Kaleel made three times as many baskets as many baskets as john during basketball pra
    8·1 answer
  • Read the graduated cylinder in milliliters to the correct degree of precision.
    11·2 answers
  • How to solve the problem
    8·1 answer
  • Use the right triangular prism to answer the question below
    9·2 answers
  • Is the set of ordered pairs above a function? {(3,4), (1,5), (-9,0), (3,-2)}
    10·1 answer
  • Please help!!! It's due rn!​
    11·1 answer
  • Complete the process of solving the equation.Fill in all missing terms and select all missing descriptions. Simplify any fractio
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!