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
tigry1 [53]
3 years ago
7

A ladder 40 feet in length rests against a vertical wall. The foot of the ladder is 7 feet from the wall. What angle, θ, does th

e ladder make with the ground? (Round angle measure to the nearest degree.)

Mathematics
2 answers:
3241004551 [841]3 years ago
8 0

Answer:

\text{The angle }79.92^{\circ} \text{ the ladder make with the ground}

Step-by-step explanation  

Given that a ladder 40 feet in length rests against a vertical wall. The foot of the ladder is 7 feet from the wall.

we have to find the angle θ the ladder make with the ground.

Length of ladder i.e AC=40 feet.

Distance of ladder from ground i.e BC=7 feet

By trigonometry formulas

\cos \theta=\frac{Base}{Hypotenuse}=\frac{7}{40}

\theta = \cos^{-1}(\frac{7}{40})

\theta=79.9213418922\sim 79.92^{\circ}

\text{The angle }79.92^{\circ} \text{ the ladder make with the ground}

       

Pachacha [2.7K]3 years ago
3 0
The ladder makes 79.92 degrees of angle with the ground (Calculation: Cos A = 7/40 = 0.175 resulting A = ACos 0.175 = 79.92 degrees). This problem can be solved by using a simple trigonometry formula of Cosine which stated Cos A = Adjacent/Hypotenuse. The ladder length of 40 feet is the hypotenuse side of the triangle and the 7 feet distance between the ladder's foot and the wall is the adjacent side<span>. </span>
You might be interested in
Question 18
kobusy [5.1K]

Answer:

Undefined

Step-by-step explanation:

y=-7 has a slope of 0, since it is a horizontal line. The only types of lines that are perpendicular to horizontal lines are vertical lines, which are usually in the form x=a (where a is any real number). Vertical lines have an undefined slope, so the answer is undefined. Hope this helps!

6 0
2 years ago
Multiply: 4(−5 2/3) Enter your answer as a fraction in simplest form, like this: 42/53
8_murik_8 [283]

Answer:

The amount that came is \frac{-68}{3}

Step-by-step explanation:

The computation is shown below:

According to the question, it is mentioned that

Multiply 4 by -5\frac{2}{3}

First open the equation in a fraction it would be \frac{-17}{3}

Now multiplied the above fraction by a 4

That gives the result of \frac{-68}{3}

Hence, the amount that came is \frac{-68}{3}

We simply multiply the 4 with the given fraction

Thus the above represents the simplest form of the fraction

5 0
2 years ago
Evaluate the expression and enter your answer in the box below |98|
olganol [36]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to evaluate \pmb{|98|}.

\triangle~\fbox{\bf{KEY:}}

  • The notation |x| denotes absolute value.

The absolute value of a number is its distance from zero.

Absolute value is always positive; distances can't be negative, right?

So we need to find the absolute value of 98, which is:

\star~\star\mathrm{98}~\star~\star

\ddot\bigstar Remember this...

\fbox{The\;absolute\;value\;is\;a\;number's\;distance\;from\;zero}

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

3 0
1 year ago
A number x divided by 3 is at most 5 An inequality that represents this word sentence is
svet-max [94.6K]

Answer:

x/3 ≥ 5

Step-by-step explanation:

4 0
3 years ago
The diagram below shows a triangle with base (x+5) and height 2x inside a shaded rectangle with length (3x+1) and width (3x-5).
Ilya [14]

Answer:

3 for the first one 2ed one is 5

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • A company produces metal slabs for industrial use. the slabs come in 3 thicknesses: 5in, 10in, and 15in. the weights of each thi
    12·2 answers
  • What’s the appropriate volume of the cone 8in and 20in
    5·1 answer
  • Simplify 5 + 2{ x - 4[3 x + 7(2 - x )]}.
    12·1 answer
  • How many roots of the polynomial 30x^4 + 7x^3-125x^2-54x+72 have absolute value greater than 1?
    12·1 answer
  • What is the slope of the line shown below?
    7·1 answer
  • Tony who is 6 ft tall is looking at a mirror on the ground 12 feet in front of him and he can see the top of the
    9·1 answer
  • What is the answer to 9 and 10??? Only if you know please i will report you no games
    13·2 answers
  • Seven times a number minus the number is -48. Find the number.
    8·2 answers
  • 31 points!
    13·1 answer
  • Fill in the missing statements and reasons in this proof. Number your reasons 1 through 5 as they would be shown in the chart be
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!