answer.
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
VLD [36.1K]
2 years ago
6

A stick 2 m long is placed vertically at point B. The top of the stick is in line with the top of a tree as seen from point A, w

hich is 3 m from the stick and 30 m from the tree. How tall is the tree?

Mathematics
1 answer:
Ber [7]2 years ago
6 0

Answer: 20 meters.

Step-by-step explanation:

1. Keeping on mind the information shown in the figure attached and the similarity of both triangles, you can calculate the height of the tree (h) as you can see below:

\frac{3}{30}=\frac{2}{h}

2. Now, you must solve for the height. So, you obtain the following result:

h=\frac{30*2}{3}\\h=20

3. Therefore, the height of the tree is 20 meters.

You might be interested in
The rectangle below has an area of 6n^4+20n^3+14n^26n 4 +20n 3 +14n 2 6, n, start superscript, 4, end superscript, plus, 20, n,
Sindrei [870]

Given:

Area of rectangle = 6n^4+20n^3+14n^2

Width of the rectangle is equal to the greatest common monomial factor of 6n^4, 20n^3,14n^2.

To find:

Length and width of the rectangle.

Solution:

Width of the rectangle is equal to the greatest common monomial factor of 6n^4, 20n^3,14n^2 is

6n^4=2\times 3\times n\times n\times n\times n

20n^3=2\times 2\times 5\times n\times n\times n

14n^2=2\times 7\times n\times n

Now,

GCF(6n^4, 20n^3,14n^2)=2\times n\times n=2n^2

So, width of the rectangle is 2n^2.

Area of rectangle is

Area=6n^4+20n^3+14n^2

Taking out GCF, we get

Area=2n^2(3n^2+10n+7)

We know that, area of a rectangle is the product of its length and width.

Since, width of the rectangle is 2n^2, therefore length of the rectangle is (3n^2+10n+7).

5 0
2 years ago
A greengrocer sells a melon at a profit of 37.5% on the price he pays for it. what is the ratio the cost price to the selling pr
strojnjashka [21]
\frac{100}{137.5} =  \frac{1}{1.375}  I simply divided by 100 and moved the decimal two places to the left.
4 0
2 years ago
Nina was curious about the height of the Eiffel Tower. She used a 1.2 meter model of the tower and measured its shadow at 2 P.M.
expeople1 [14]
 320 Meters.
                  _
1.2/0.9=1.33
     _
1.33(240) =320
8 0
2 years ago
There are 3 times elephants compared to giraffes in the safari. If there is a total of 88 elephants and giraffes,how many elepha
77julia77 [94]
There are 66 elephants in the safari. 

Solution:
The number 88 refers to both elephants and giraffes that are in the safari. We know that the number of elephants is thrice the number of giraffes. So we can let x be the number of giraffes and 3x be the number of elephants. 

We will then come up with the following equation:
3x + x = 88

Then, just add the two variables, and continue the operation.
4x = 88
x = 88/4
x = 22

Now we know that there are 22 giraffes in the safari. So 3x, or 3(22) = 66. There are 66 elephants in the safari.
5 0
2 years ago
Consider f(x) = 1.8x – 10 and g(x) = −4. Select the equation that can be used to find the input value at which f (x ) = g (x ),
VLD [36.1K]
F(x) = 1.8x - 10.....g(x) = -4

f(x) = g(x)

1.8x - 10 = -4
1.8x = -4 + 10
1.8x = 6
x = 6 / 1.8
x = 3.33 or 3 1/3
6 0
2 years ago
Read 2 more answers
Other questions:
  • If 1134 bricks are used to build a wall that is 18ft long, how high is the wall?
    12·1 answer
  • Carmen buys 153 shares of Cawh Consolidated Banks, each of which pays a constant yearly dividend of $7.14. After six years, how
    8·2 answers
  • Every day, the number of network blackouts has a distribution (probability mass function)
    5·1 answer
  • Each month for 5 months, sophie makes 2 quilts. how many more quilts does she need to make before she has made 16 quilts?
    15·2 answers
  • If 40 percent of a movie ticket costs $5.00 what is 20 percent of the cost of two tickets
    8·1 answer
  • The graph of which function is decreasing over the interval (–4, ∞)?
    12·2 answers
  • Company A: A 2-column table with 5 rows. The first column is labeled hours with entries 5, 12, 20, 29, 42. The second column is
    11·2 answers
  • A pendulum is swinging next to a wall. The distance from the bob of the swinging pendulum to the wall varies in a periodic way t
    12·1 answer
  • Yuna's favorite type of cheese crackers has 30 crackers for each serving.
    8·1 answer
  • Which statements are true about the graph of y s 3x + 1 and y 2 -x + 2? Check all that apply.
    16·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!