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
sergejj [24]
3 years ago
11

1. Joshua has a ladder that is 17 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is

16.5 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 70°. Will the ladder be safe at this height? Show your work please.
Help please???
Mathematics
2 answers:
Molodets [167]3 years ago
7 0

Answer:

The question is asking to solve a problem that'll "add up", or in other words, makes sense; through the use of Trigonometric functions. The leaning ladder is the hypotenuse of 17ft, adjacent to that is a wall that measures 16.5ft above the ground. The angle both sides make must be <=70°. The function here is Opposite over Hypotenuse i.e 16.5/17 . We use the inverse operation of Sin which is Sin^(-1) to find if the angle is < or = to 70°. Using a calculator, we find the angle to be 76.06°, which is > more than, 70°.

Thus, the ladder will not be safe for its height and therefore won't make sense.

nasty-shy [4]3 years ago
4 0

Answer:

No

Step-by-step explanation:

It is given that Joshua has a ladder that is 17 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 16.5 ft above the ground. Thus,

Use Sine function , we have

\sin(angle)=\frac{\text{Height}}{\text{Ladder length}}

\text{Height}=\text{ladder length}{\times}\sin(angle)

Substituting the given values, we have

Height represents the height of wall.

\text{Height}=17\sin70^{\circ}

\text{Height}=17(0.939)

\text{Height}=15.98\text{ ft}

So the ladder will only reach maximum height of 15.98 ft , just short of 0.52 ft. at the maximum angle of 70 degrees.  

Hence, The ladder will not be safe for 16.5 ft height of wall.

You might be interested in
A 57-inch television screen has an aspect ratio of 4:3. Find the scale factor (x), find the length and width, and calculate the
natulia [17]

tv-sets are rated by the screen size and the screen size comes from the length of its diagonal.

so a 57" TV has a 57" diagonal.

Check the picture below.

\bf \stackrel{length}{4\left( \cfrac{57}{5} \right)}\implies \cfrac{228}{5}\implies 45\frac{3}{5}~\hfill \stackrel{width}{3\left( \cfrac{57}{5} \right)}\implies \cfrac{171}{5}\implies 34\frac{1}{5} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{Area}{\cfrac{228}{5}\cdot \cfrac{171}{5}}\implies \cfrac{38988}{25}\implies 1559\frac{13}{25}

3 0
3 years ago
Please help :)
slava [35]
For a system of equations such as this, add both of the equations together. The d values will cancel each other out, making 2e=-4. This means that e=-2. If you plug this into one of the equations, you will have d + (-2) = 1. Isolate the variable by adding -2 to both sides: d=3. Written in the format described above (d,e), your answer is (3, -2).
6 0
3 years ago
Find the values of x any y.
Ede4ka [16]

There are so many types of angles, let's see what we've got here!

--(5x - 17) and 48 are alternate interior angles, which means that they are congruent.

--(5x - 17) and y are supplementary angles.

--48 and y are same-side interior angles, which means that they are also supplementary.

Let's solve for x first.

5x - 17 = 48

5x = 65

x = 13

Now, let's solve for y.

48 + y = 180

y = 132

Hope this helps!! :)

5 0
3 years ago
I thought of a number. This number double is 7 less than 29. What is my number? hurry please
jekas [21]

Answer:

11

Step-by-step explanation:

11*2=22

29-7 =22

6 0
3 years ago
Read 2 more answers
Plzzzz helppppppppppppppp
GarryVolchara [31]

Answer:

ok

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • The longer leg of a 30° 60° 90° triangle is 16 times square root of three how long is a shorter leg
    15·1 answer
  • Which equation can you solve to find the potential solutions to the equation log2x + log2(x – 6) = 4?
    6·2 answers
  • Andrea’s work to find the equation of a trend line through the points (48, 61) and (72, 195) is shown below
    8·2 answers
  • C. what is the implied tax (i.<br> e., tax/average income) on the highest quintile?
    7·1 answer
  • There are 26/3 graders and 32 fourth-graders going on a field trip each van can carry 10 students how many vans are needed how m
    10·1 answer
  • What will make the equation true 4x + 3 = 11
    8·2 answers
  • 2/3+2/3 I need help PLZZZZ
    7·2 answers
  • -60+x-23=70<br> Need help
    14·1 answer
  • Solve the following triangle angles
    6·1 answer
  • Simplify (9 ^ 2)/(9 ^ 7)<br> PLS HELP!!!! WILL MARK BRAINLIEST!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!