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
abruzzese [7]
3 years ago
6

A ladder is leaning against a house at an angle of 39°. If the latter is 12 feet long, how far is the bottom of the ladder from

the house?

Mathematics
2 answers:
velikii [3]3 years ago
8 0

Answer: 9.32 ft

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Cos α = adjacent side / hypotenuse  

Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the adjacent side (x) is the distance between the bottom of the ladder and the house.

Replacing with the values given:  

cos 39 = x/ 12

Solving for x  

cos39 (12) =x  

x= 9.32 ft

Feel free to ask for more if needed or if you did not understand something.  

VashaNatasha [74]3 years ago
6 0

Answer:

The bottom of the ladder is 7.55 feet far away from the house

Step-by-step explanation:

To find the distance between the bottom of the ladder from a house if a ladder of 12 feet long   is leaning against a house at an angle of 39°, then we will follow the steps below:

We can use trig ratios to find the solution to this problem

SOH CAH  TOA

sinФ= opposite/hypotenuse

cosФ=adjacent/hypotenuse

tanФ=opposite /adjacent

from the diagram below;

angle Ф=39°

hypotenuse =12 feet

opposite = x        where x is the distance of the bottom of the ladder from the house

Given these parameter, the best trig function to use sine

sinФ =  opposite / hypotenuse

sin 39° = \frac{X}{12}

cross-multiply

x = 12 sin 39

x ≈ 7.55 feet

Therefore, the bottom of the ladder is 7.55 feet far away from the house

You might be interested in
If measure of angle ABE equals 52, twhat is measure of angle D​
zhuklara [117]

Answer:

Step-by-step explanation: B26

4 0
3 years ago
Find the length of the diagonal AD in the pentagon ABCDE shown in the coordinate plane.
Xelga [282]

Answer:

\sqrt{73} units.

Therefore, Option C is correct.

Step-by-step explanation:

We have given a pentagon ABCDE

We need to calculate its length

That means we have to find the distance of AD

So, coordinates of A(1,6) and D(4,-2)

Using distance formula:

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Here,x_1=1,y_1=6,x_2=4,y_2=-2

On substituting the values we will get:

\sqrt{(4-1)^2+(-2-6)^2}

On simplification:

\sqrt{3^2+(-8)^2}

\sqrt{9+64}

\sqrt{73}.

Hence, the length of AD is  \sqrt{73} units.

Therefore, Option C is correct.

6 0
3 years ago
PLEASE ANSWER MY LATEST QUESTION PLEASE
siniylev [52]

Answer:

i will see if i can figure it out

gl dude

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
-2+4(-5+2m)=5(4-2m)+5m
kenny6666 [7]

-2+4(-5+2m)=5(4-2m)+5m\ \ \ \ |\text{use distributive property}\\\\-2+(4)(-5)+(4)(2m)=(5)(4)+(5)(-2m)+5m\\\\-2-20+8m=20-10m+5m\\\\(-2-20)+8m=20+(-10m+5m)\\\\-22+8m=20-5m\ \ \ \ |+22\\\\8m=42-5m\ \ \ \ \ \ |+5m\\\\13m=42\ \ \ \ \ |:13\\\\\boxed{m=4}

7 0
3 years ago
Read 2 more answers
Given the following mAB = mBC= mCD in circle F what is the measure of angle AFB
Svetach [21]
50° <span>is the measure of angle AFB</span>

8 0
3 years ago
Other questions:
  • HELPPP
    5·1 answer
  • Louis, Michelle, and Tonya were asked to find an equation for a function that passed through the points (1, 6) and (3, 12).
    9·2 answers
  • A pilot in an apache rescue helicopter, at an altitude of 1200 feet, spots his two soldiers on the ground. the angles of depress
    9·1 answer
  • Find the least common denominator for these<br> two rational expressions,
    6·2 answers
  • I have a daily allowance of 70grm but have only used 48 what percentage do i have left
    8·1 answer
  • HELP HELP HELP HELP HELP HELP HELP HELP HELP write a brief summer about inequalities on a number line .
    7·1 answer
  • Giving 10 dollars cashapp to whoever does this<br> https://brainly.com/question/19369687
    14·1 answer
  • 2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250
    12·2 answers
  • What is the mode interval for the set of data?
    14·2 answers
  • given that alpha and beta are roots of the quadratic equation ax²+bx+c=0, show that alpha+beta=-6÷a and alphabeta=c÷a​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!