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
tresset_1 [31]
3 years ago
9

an eight foot ladder leans against a building. if the ladder makes an angle of 60° with the ground, how far up the wall does the

ladder reach?
Mathematics
1 answer:
damaskus [11]3 years ago
8 0

Answer:

The ladder reaches (4)(√3) ft up the wall (6.93 ft)  

Step-by-step explanation:

Think of a triangle with a 60 degree angle in the lower left corner.  The lower right corner is a right triangle, and 8 ft is the length of the hypotenuse.  The other angle is 30 degrees.

We know the angle 60 degrees, plus the length of the hypotenuse, but need the length of the vertical side opposite the 60 degree angle.  Use the sine function here because it involves these knowns:

                               opposite side

sin 60 degrees = ------------------------ = x/(8 ft) = (√3)/2

Cross-multiplying, we get:

2x = (8 ft)(√3), or through reduction, x = (4)(√3)

The ladder reaches (4)(√3) ft up the wall (6.93 ft)                              

You might be interested in
A bag contains 10 counters. 6 of them are white. a counter is taken at random and not replaced. A second counter is taken out of
Sedbober [7]

Answer: 8/15

Step-by-step explanation:

6 0
2 years ago
Convert the following to degrees/radians :
xz_007 [3.2K]

\pi \div 180 \times 300rad = 10\pi \div 6rd \\d

6 0
3 years ago
Read 2 more answers
I need to double check a answer. For measure 1 and 3 I got 117, is that right? But for measure 2 I got 63 which is wrong but I h
cupoosta [38]

Answer:

All are 63

Step-by-step explanation:

m∠1 = 180 - 117 = 63 (linear pair)

m∠2 = 63 (alternate interior angle with ∠1)

m∠3 = m∠1 = 63 (isosceles triangle property)

Hope it helps :)

Please mark my answer as the brainliest

3 0
2 years ago
Anne has a 10 3/4 pound bag of flour. Each time she bakes a batch of rolls she uses 2 1/6 pounds of flour. How many pounds of fl
LUCKY_DIMON [66]
She will have four pound left because 2 times 3 is 6 and 10 minus 6 is 4
3 0
3 years ago
1/2 divided by (-7) and show the work please
Strike441 [17]

Also can I plz get brainiest?

Answer: -0.07142857142

I looked the question up on google ;)

6 0
2 years ago
Read 2 more answers
Other questions:
  • Brad buys two packages of mushrooms which mushrooms cost less per pound, $11.25 for 2/3 pounds and $7.99 for 1/2 pounds. Pls hel
    7·1 answer
  • How do I divide 30 divided bt 7230​
    9·2 answers
  • Please help me with my homework
    7·1 answer
  • Estimate 9.586+3.097 then give me answer
    6·2 answers
  • A monkey is swinging from the tree. On the first swing she passes through an arc of 20 m. With each swing she passes through an
    15·2 answers
  • If tan 20=5 find tan​
    6·1 answer
  • Can anyone tell the answer for the 3rd qouestion
    6·1 answer
  • Create a proportion using the form = to represent the following word problem.
    10·2 answers
  • Find the value of x in the following system of equations: 2x−3y=9x=4+y
    12·1 answer
  • 4.3 ft<br> 3.7 ft<br> 6.5 ft<br> 39.96 ft2<br> 26 it?<br> 19.98 ft?<br> 12.03 ft?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!