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
zysi [14]
3 years ago
13

(20 pts!) if the base of the roof has length 40 feet and x=30, which of the following gives the height of the roof?

Mathematics
2 answers:
musickatia [10]3 years ago
8 0

Answer:

23.094 ft approximately

(If you want your answer in a different format, let me know please.)

Step-by-step explanation:

I would have solve this using tangent since the side opposite to x is asked for and the adjacent side to side is given as having a measurement of 40 ft.

But I think they want you to use the formula:

l=\frac{b}{\cos(x)}.

l=\frac{40}{\cos(30)}

Input into calculator:

l=46.188 (approximation)

l represents the length of the roof.

So we have l=46.188 and b=40.

We must use the Pythagorean Theorem to find the height,h, for of the roof.

l is the hypotenuse.

h^2+40^2=46.188^2

h^2+1600=2133.331

Subtract 1600 on both sides:

h^2=533.331

Take square root of both sides:

h=23.094

The answer is 23.094 feet for the height that roof reaches on the building.

I want to show you another way:

\tan(x)=\frac{\text{opposite}}{\text{adjacent}}

\tan(30)=\frac{h}{40}

Multiply both sides by 40:

40\tan(30)=h

Input into calculator:

23.094=h

I didn't do it this way because your problem suggested you use their formula to find the height.

artcher [175]3 years ago
6 0

Answer:

40/√3 feet

Step-by-step explanation:

Given,

Base of the roof,b=40 feet

Base angle,x=30°

Formula to calculate length of the roof,l=

\frac{b}{ \cos(x) }

or,l=40/cos(30°)

or,l=40*(√3/2)

or,l=80/√3

Now,In the above triangle, using Pythagoras formula,

hypotenuse^2=base^2+height^2

If total height be h,

h^2+b^2=l^2

or,h^2=l^2-b^2

or,h^2=(80/√3)^2-40^2

or,h^2=6400/3 - 1600

or,h^2=1600/3

or,h=40/√3

ANS:40/√3 feet

You might be interested in
In 5 rounds of a game, Jill scored -3,8,9,-7, and 13. What integer represents her average score for the 5 rounds?
IgorC [24]
The answer is 9 because 5*(-3)+8+9-(-7)=9
5 0
3 years ago
What is the name of this triangle
Sonja [21]

Answer:

right triangle

Step-by-step explanation:has a right angle

3 0
2 years ago
Read 2 more answers
Mattie’s house consist of two stories and an attic.the first floor is 8 5/6 feet tall the second floor is 7 1/2 feet tall and th
Trava [24]

Answer:

The attic is  

7

feet tall

Step-by-step explanation:

a=73/3-53/6-17/2

to check Ur work: 53/6+17/2+7

hope u got ur answer

8 0
2 years ago
Read 2 more answers
[2P-3.) ^2+(2P+3)^2<br>​
WINSTONCH [101]

Answer:

[2P-3.) ^2+(2P+3)^2[2P-3.) ^2+(2P+3)^2[2P-3.) ^2+(2P+3)^2

4 0
3 years ago
Help help help help help
Mkey [24]

Answer:

  x = 42

Step-by-step explanation:

The marked angles are supplementary, so their sum is 180°.

  (2x +8) +(2x +4) = 180

  4x +12 = 180 . . . . . . . . . simplify

  x +3 = 45 . . . . . . . divide by 4 (because we can)

  x = 42 . . . . . . subtract 3

_____

<em>Additional comment</em>

A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and  eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.

5 0
2 years ago
Other questions:
  • What’s 12 rounded to the whole number
    10·2 answers
  • Mei likes to make desserts for bake sales. Last month, she made 2 batches of brownies and 3 batches of cookies, which called for
    10·1 answer
  • How would i solve this 2_4×4
    7·1 answer
  • Simplify (4-2)^5<br><br>A. 4^10<br><br>B. 4^3<br><br>C. 1/4^3<br><br>D. 1/4^10​
    7·1 answer
  • The vertices of parallelogram ABCD are A(2,1),B(3,4),C(5,3), and D(4,0). ABCD is reflected over the x-axis to create parallelogr
    14·1 answer
  • PLEASE HELP - Which of these graphs represents a nonlinear function ?
    6·2 answers
  • 2 POINTS<br> What is the slope of the line that contains the points (-1,2) and (4,3)?
    12·2 answers
  • Simplify -5(20 + 3).<br><br> 85<br> - 115<br> -97<br> -103
    7·1 answer
  • What is 7.1 -5 -3.27 =
    15·1 answer
  • Is the set of multiples of 4 closed under addition? Explain why or provide a counterexample if not.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!