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Varvara68 [4.7K]
3 years ago
5

A tree casts a shadow of 26 meters when the angle of elevation of the sun is 24°. find the height of the tree to the nearest me

ter.
Mathematics
1 answer:
beks73 [17]3 years ago
7 0
This is the concept of geometry, the height of the tree will be given by:
tan theta=[opposite]/[adjacent]
theta=24
opposite=h
adjacent=26m
thus;
tan 24=h/26
hence;
h=26tan24
h=10.29
=10 m
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Find the other two vertices of a square with one vertex (0, 0) and another vertex (4, 2). Can you find another answer?
Margarita [4]

It is given that two vertices of square are (0,0) and (4,2).

Now the problem is that you haven't given that whether these two vertices are adjacent vertices or opposite vertices of the square.

1. By Supposing that these two are adjacent vertices of Square

The third vertex will be at (-4,2) which lies in third quadrant.

Suppose the coordinate of fourth vertex be (x,y).

Mid point of line joining (4,2) and (-4,2) is{ [4+(-4)]/2,(2+2)/2} is (0,2).

Mid point of line joining (x,y) and (0,0) is (x/2,y/2).

Since diagonals of square bisect each other,

∵ x/2=0

⇒x=0

and

y/2=2

⇒y=4

So, The Coordinate of  fourth vertex is (0,4).

Now coming back to second condition if these are two opposite vertex of Square.

Let the third coordinate be (a,b).

Length of diagonal=\sqrt{(4-0)^2+(2-0)^2}=\sqrt20=2\sqrt5

Now,let side of Square be A.

Then length of Diagonal of square =√2 A

⇒√2 A=2√5

⇒A =√10

As third vertex is (a,b).

Using distance formula

a² + b²=10  -------------(1)

(a-4)²+ (b-2)²=10  --------------(2)

Solving expression (1) and (2), we get

⇒a²+ b²=(a-4)² +(b-2)²

⇒2a + b =5

⇒b=5-2a

Putting the value of b in (1),we get

⇒a² +(5-2a)²=10

⇒a²+25+4a²-20a =10

⇒5a²-20a+15=0

⇒a² - 4a + 3=0

Splitting the middle term,we get

⇒(a-3)(a-1)=0

⇒a=3  ∧  a=1

we get b=5-2×1=3 and b=5-2×3=5-6=-1

So,the other vertex are (1,3) and(3,-1).





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Maria is mailing packages. each small package costs her $2.20 to send. each large package costs her $2.90. how much will it cost
dlinn [17]
Multiply 2.90 by 6 and multiply 2.90 by 4 then add them and you get your answer
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2 years ago
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kow [346]

Answer:

23,500

Step-by-step explanation:

6 0
3 years ago
The population of town is 32600. about 27% are over 60 years old. About 19% are 16 or under. How many are between 16 and 60?
I am Lyosha [343]

Answer:

Number of population between  16 and 60 =17,604

Step-by-step explanation:

population of town = 32600

Percentage of people over 60 years old=27%

Percentage of people 16 or under =19%

Percentage of people between  16 and 60= 100%-(27% +19%)

100-(46) =54%

Number of population between  16 and 60 =Percentage of people between  16 and 60 x population of town

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2 years ago
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