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
Goryan [66]
3 years ago
7

A 6m long ladder leans against a building.the ladder makes an 59° with the ground

Mathematics
1 answer:
patriot [66]3 years ago
7 0

Answer:

5.143m

Step-by-step explanation:

Since we are not asked what to find, we can find the height of the building

Given

Length of ladder (hypotenuse) = 6m

angle of elevation = 59°

Required

Height of building H (opposite)

Using the SOH CAH TOA identity

sin theta = opp/hyp

sin 59 = H/6

H = 6sin59

H = 6(0.85716)

H =5.143

Hence the height of the building is 5.143m

You might be interested in
I really need help<br> Solve for x
MakcuM [25]

\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}

1. Both are corresponding angles, hence they both are equal, so,

44x + 2 = 45x \\  =  > 2 = 45x - 44x \\  =  > 2 = x \\  =  > x = 2

Ans. C) 2

2. They both are in interior corressponding, hence their sum is equal to 180°, so,

10x + 6 + 104 = 180 \\  =  > 10x + 110 = 180 \\  =  > 10x = 180 - 110 \\  =  > 10x = 70 \\  =  > x =  \frac{70}{10}  \\  =  > x = 7

Ans. D) 7

3. They both are in interior corressponding, hence their sum is equal to 180°, so,

x + 75 + x + 125 = 180 \\  =  > 2x + 200 = 180 \\  =  > 2x = 180 - 200 \\  =  > 2 x =  - 20 \\  =  > x =  \frac{ - 20}{2}  \\  =  >  x =  - 10

Ans. A) -10

4. Both are corresponding angles, hence they both are equal, so,

12x + 3 = 11x + 9 \\  =  > 12x - 11x = 9 - 3 \\  =  > x = 6

Ans. A) 6

If it helps you, please don't forget to follow me.

✌✌✌

6 0
3 years ago
In matrix theory, many of the familiar properties of the real number system are not valid. If a and b are real numbers, then ab
kozerog [31]

Answer:

B=\left[\begin{array}{ccc}0&0\\0&1\\\end{array}\right]

Step-by-step explanation:

Let's do the multiplication AB.

If A=\left[\begin{array}{ccc}1&0\\0&0\\\end{array}\right]

then the first row of A is= (1 0) by the first column of B= (0 0) is equal to zero.

the first row of A is= (1 0) by the second column of B= (0 1) is equal to zero too because 1.0+0.1=0.

the second row of A is= (0 0) by any colum of B is equal to zero too.

So we have found an example that works!

7 0
4 years ago
A trimming operation at a local manufacturer produces rods whose length conforms to unifrom distribution with a minimum of 18cm
MariettaO [177]

Answer:

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

Step-by-step explanation:

Given: uniform distribution with min and max values of 18 and 33 respectively.

To find : probability density for upper cumulative frequency i.e 25.8 at least means x\geq25.8  upto 33 cm i.e the maximum limit of function.

Solution:

we have by definition , of uniform distribution

we get , probability density function defines as :

<em>F(x,a,b)= </em>\frac{1}{b-a}<em>   </em>a\leq x\leq b

            =1/(33-18)=1/15=0.0667.

this is probability density function.

here the x=25.8 , a=18 and b=33

for lower cumulative frequency it defines as ;

P(x,a,b)=\frac{x-a}{b-a} =25.8-18/33-18=0.52

for upper cumulative frequency it defines as ;

Q(x,a,b)=b-x/b-a=33-25.8/33-18=0.48

here at least 25.8 cm probability means it should be greater than a value(18cm) hence it is provided by the upper cumulative frequency

i.e. Q(x,a,b)=0.48

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

7 0
3 years ago
If 8^{y}=18^{y+2} what is the value of y?
Nina [5.8K]

Answer:

-8

Step-by-step explanation:

both 8^-8 and 16^-8+2 equal 5.9605

8 0
2 years ago
Read 2 more answers
A sphere with a radius of 4.8 centimeters is carved out of a right cone with a base radius of 8 centimeters and a height of 15 c
emmainna [20.7K]

Volume of the cone = 1/3 pi r^2 h = 1005.31 cm^3

Volume of the sphere = 4/3 pi r^3 = 463.25 cm^3

Volume of remaining portion of the cone = 1005.31 - 463.25

= 542.1 cm^3 to nearest tenth

4 0
3 years ago
Read 2 more answers
Other questions:
  • Carter's telephone bill is automatically deducting $48 from his bank account every month. How much will the deductions total for
    14·1 answer
  • Which of the following is the graph of the quadratic function y = x2 - 4x +4?​
    5·2 answers
  • What is the solution to the following system?​
    5·1 answer
  • HELP ME PLS I NEED THIS
    6·1 answer
  • Which expression is equivalent to 7h^2-252k^2?
    15·2 answers
  • What is the cube root of 27x^18?<br> A)3x^6<br> B)3x^9<br> C)9x^6<br> D)9x^9
    6·1 answer
  • 15 divided by 3.15 what is the unit rate
    8·1 answer
  • Find the median, first quartile, third quartile, and interquartile range of the data.
    14·2 answers
  • Evaluate the expression for s = -9.<br> 2s + 16 =
    13·1 answer
  • I have no clue lol<br>I accidently put supplementary so ignore that.​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!