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
OleMash [197]
3 years ago
15

A tree 12m high is broken by the wind in such a way that its top touches the ground and makes an angle 60° with the ground. at w

hat height from the bottom the tree is broken by the wind?​
Mathematics
1 answer:
Katena32 [7]3 years ago
4 0

The height of broken part of tree from ground is 5.569m.

Justification:

Let BD is a tree of height 12 m.

<u>Suppose it got bent at a point C and let the part CD take the position CA, meeting the ground at A</u>.

i.e., CD = AC = h m

<u>Broken part makes 60° angle from ground</u>

So, ∠BAC = 60°

<u>Now, height of remaining part of tree</u> = (12 – h)m.

In right angled ∆ABC,

sin 60° = BC/AC

⇒ √3/2 = (12 - h)/h

⇒ √3h = 2(12 – h)

⇒ √3h = 24 – 2h

⇒ √3h + 2h = 24

⇒ h(√3 + 2) = 24

⇒ h(1.732 + 2) = 24

⇒ h(3.732) = 24

⇒ h = 24/3.732 = 6.4308 m

<u>Hence, height of broken tree from ground</u>

⇒ BC = 12 – h

⇒ 12 – 6.4308 = 5.569m

<u>Hence, tree is broken 5.569 m from ground</u>.

<u>Note</u>: See attached picture.

You might be interested in
What is f(g(x)) if f(x)= 4x²+3x-4 and g(x)=2x​
S_A_V [24]

Answer:

f(g(x))=16x^2+6x-4

Step-by-step explanation:

f(g(x))=4(2x)^2 +3(2x)-4

f(g(x))=16x^2+6x-4

8 0
3 years ago
Factor the trinomial or state that it is prime 4y²+54y-90
lidiya [134]
4y^2+54y-90=\\&#10;2(2y^2+27y-45)=\\&#10;2(2y^2+30y-3y-45)=\\&#10;2(2y(y+15)-3(y+15))=\\&#10;2(2y-3)(y+15)
6 0
3 years ago
Read 2 more answers
HELP PLZ SUPER EZ HURRY Please some1 help me. jodi built a rectangular sandbox for her daughter. The sand measures 6 feet 5 feet
nexus9112 [7]

Answer:

To fill the sandbox, she would need 15 cubic feet.

Step-by-step explanation:

To find the volume of a box, multiply all of its dimensions together.

6ft * 5ft * 1/2ft = 15ft^3

So, since she bought 20 cubic feet of sand, she should have enough with 5 cubic feet left over.

7 0
3 years ago
In the morning, the number of ducks at the reservoir was 80. By noon, the reservoir had 135 ducks. What was the percent of chang
Mekhanik [1.2K]

Answer:

60 percent

Step-by-step explanation:

number of ducks in morning=80

ducks in after noon=135

for percentage

80/135=0.5925=0.60

0.60*100=60 percent

4 0
3 years ago
What is the rule
Taya2010 [7]
Add 5

y is found by adding 5 to x
5 0
2 years ago
Other questions:
  • It costs $430 to rent the cottage for the weekend.Last year it cost $400.What percentage increase is this?
    12·2 answers
  • After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day
    6·1 answer
  • Make a copy of this document for yourself. Solve each problem. Remember to combine like terms and use inverse operations when ne
    8·2 answers
  • Which two expressions can be used to answer this question? 45% of the 647 students at Royal Oak High attended the football game.
    13·2 answers
  • A drinking glass is shaped like a cylinder with a height of 5 in. and a diameter of 3 in. Maeva adds 25 spherical pieces of ice
    8·1 answer
  • On friday,3/10 of the students at a school were wearing white shirts and 5/12 of the students were wearing blue shirts.What frac
    7·1 answer
  • 1.Which answer below represents the
    13·1 answer
  • What is the value of x in the figure? Enter your answer in the box.<br> 1450<br> (2x + 15)<br> x=
    13·1 answer
  • Joseph is weaving a ceremonial Native American sash. The sash will be 8 feet long when it is completed. Joseph wants to add a di
    9·1 answer
  • Answers for these im strugglinh
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!