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
solniwko [45]
3 years ago
5

A tree casts a shadow that is 20 feet in length. if the angle of elevation is 32 degrees, which of the following best represents

the height of the tree?
A. 10.5 FT
B. 9.5 FT
C. 11.5 FT
D. 12.5 FT

Mathematics
2 answers:
swat323 years ago
7 0
The answer woudl be d

34kurt3 years ago
7 0

Answer: D. 12.5 FT

Step-by-step explanation:

Let the height of tree be x.

Assume tree is standing vertical to the ground, then it will make right triangle with the shadow of the tree.

Given: The length of the shadow: 20 feet

Using trigonometry,

\tan\thetha=\dfrac{\text{side opposite to }\theta}{\text{Side adjacent to }theta}\\\\\Rightarrow\ \tan32^{\circ}=\dfrac{x}{20}\\\\\Rightarrow\ x=\tan32^{\circ}\times20\\\\\Rightarrow\ x=0.6248693519\times20\\\\\Rightarrow\ x=12.497387038\approx12.5\ ft.

Hence, the height of tree= 12.5 ft.

You might be interested in
Select the statement that describes this expression: 10 + fraction 1 over 4x (5 + 3) − 3.
Tanya [424]

Answer:

B

Step-by-step explanation:

because i said so

5 0
1 year ago
How is 1/5 changed to a decimal​
Ksenya-84 [330]

Answer:

just divide 1/5 by 100 and you should get it

Step-by-step explanation:

3 0
3 years ago
Juan compró un terreno rectangular cuyo perímetro es de 88 m. Se sabe que la medida de lo largo del terreno es 2veces la medida
Nuetrik [128]

Answer:

420 m^2

Step-by-step explanation:

Ancho: x

Largo: 2x + 2

2x + 2(2x+2) = 88

2x + 4x + 4 = 88

6x = 88 - 4

x = 84/6

x = 14

Ancho: 14

Largo : 30

Area: 14 * 30 = 420 metros cuadrados

5 0
2 years ago
PLEASE HELP IM STUCK ON THESE TWO!!
sergejj [24]

Answer:

6) y = -x - 5

7) y = \frac{7}{5}x + 3

Step-by-step explanation:

format y = mx + b

8 0
2 years ago
Read 2 more answers
Convert 150 degrees to radians.
MatroZZZ [7]
The answer is 3 5pi/6
4 0
3 years ago
Other questions:
  • Need help with this What are the like terms in the equation 5x + 3y + 2x + 3z = 27? ASAP
    5·2 answers
  • Each dimension of a rectangular family room is 3.5 times larger than the rectangular bedroom. if it costs $312 to carpet the bed
    12·2 answers
  • Estimate the sale price of a $349.99 40 inch plasma tv that is 20% off. write one or two sentence to explain your estimation str
    7·1 answer
  • Tina missed this problem on her test.
    5·2 answers
  • Sandy bought a 32.5 ounce package of mixed nuts for $7.I5. What was the coat per ounce.​
    13·1 answer
  • X+6=8 what is X?<br> 2X + 2 =4 what is X?
    12·1 answer
  • Is 4.5 and 0.25 proportional
    13·1 answer
  • What is the inverse of the function f(x)=(x+4) squared
    14·1 answer
  • The number of reviews for each of the local restaurants is counted. The results are normally distributed with a mean of 25 and a
    6·1 answer
  • NO LINKS!! Please help me with this problem​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!