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
Ivenika [448]
2 years ago
5

Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. the angle

of elevation of the tree from one position on a flat path from the tree is and from a second position farther along this path it is what is the height of the​ tree?
SAT
1 answer:
Mekhanik [1.2K]2 years ago
7 0

The height of the​ tree, which Pat needs to determine, before cutting it down to be sure that it will not fall on a nearby fence is 111 ft.

<h3>What is right angle triangle property?</h3>

In a right angle triangle, the ratio of the opposite side to the base side is equal to the tangent angle between them.

\tan\theta=\dfrac{b}{a}

Here, (b) is the opposite side, (a) is the base side.

Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence.

The angle of elevation of the tree from one position on a flat path from the tree is

H=40^o

From a second position,

I=60\rm\; ft

Farther along this path it is,

b=30^o

Let the distance between tree and first position is x. Thus, from the trigonometry,

\tan 40=\dfrac{h}{x}\\h=x\tan 40             ....1

The distance between tree and second position is (x+60) ft. Thus, again from the trigonometry,

\tan 30=\dfrac{h}{x+60}\\h=(x+60)\tan 40               ......2

Compare the equation 1 and 2,

x\tan (40)=(x+60)\tan 30\\0.839x=0.577x+34.64\\0.839x-0.577x=34.64\\x=\dfrac{34.64}{0.262}\\x=132.25\rm\; ft

Put this value in equation 1 as,

h=(132.25)\times \tan40\\h\approx111\rm\;ft

Thus, the height of the​ tree, which Pat needs to determine, before cutting it down to be sure that it will not fall on a nearby fence is 111 ft.

Learn more about the right angle triangle property here;

brainly.com/question/22790996

#SPJ1

You might be interested in
Which phrases show paul’s father’s viewpoint that he believes paul should learn a lesson? select all that apply. My daddy stoppe
never [62]

Answer:

2,3 and 4

Explanation:

I took the test

7 0
2 years ago
Read 2 more answers
Which mexican state is a popular tourist destination
victus00 [196]

Answer:

Oaxaca

Explanation:

Oaxaca de Juárez is one of the most important destinations in Mexico

5 0
2 years ago
F(x) =-x+1, evaluate f(x+h) <br> Show all work
krok68 [10]

Answer:

-1

Explanation:

Find components of the definition.

f(x+h)=-h-x+1\\f(x)=-x+1

Plug in components

\frac{f(x+h)-f(x)}{h} = \frac{-h-x+1-(-x+1)}{h}

Simplify.

-1

By the way, you are going to get banned if you spam the same question over and over if it's been answered already.

6 0
3 years ago
Read 2 more answers
I need 2 agree and 2 disagree <br><br><br>is for jewish studies<br>please help me
inna [77]
2 will agree and 2 will disagree so the answer is 4
7 0
3 years ago
Fish may carry
Aleonysh [2.5K]

Answer:bacteria cereus

Explanation:

4 0
3 years ago
Other questions:
  • In the figure below, ray was constructed starting from rays and . By using a compass D and G were marked equidistant from E on r
    13·1 answer
  • Wayne Williams was a suspect in the murder of a number of African-American young men and boys, but was only convicted in two cas
    10·1 answer
  • Is a 860 good for an eighth grader on the psat 8?
    11·1 answer
  • What observation about baking powder suggests that it is a mixture of substances?
    10·1 answer
  • If 10x + 5y = 30 and -5x - 3y = 12, find the value of 5x + 2y
    6·1 answer
  • The next question refers to the dialogue that follows. The paragraphs have been numbered to help you identify them more easily.
    5·2 answers
  • Which component of blood consists of cell fragments and is the main contributor to healing cuts?.
    12·1 answer
  • (SAT ) pls help me answer this question
    8·1 answer
  • Angela is buying a dress that is on sale for 20% off. If the original price of the dress is $30. 00, how much money is angela sa
    14·1 answer
  • Find the perimeter pls help
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!