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 new phone costs $230 and the sales tax rate is 7%. What is the total cost of the camera after tax?
rosijanka [135]

That's a question about percentage.

One way to represent percentage is using decimal number. In this way, 1 is equivalent to 100% and the other less percentages using numbers between 0 and 1.

Examples:

  • 90% is equivalent to 0,90.
  • 5% is equivalent to 0.05. It's not 0.5 because 0.5 is equivalent to 50%.
  • 13.17% is equivalent to 0.1317.
  • 245% is equivalent to 2.45.

If we want to know the percentage of a number, we should multiplacate the number by the porcentage in the decimal number form.

Examples:

  • 55.90% of 200 is equal to: 200 \times 0.5590 = 111.8
  • 360% of 88 is equal to: 88\times 3.6 = 316.8

In our problem, we have a phone with a increase of 7%. To solve that, it's important to perceive that $230 is equal to 100% and with a increase of 7%, we will pay 107%.

107% in the decimal number form is 1.07. With that information, we should multiplicate 1.07 by the original value and we will find the answer.

We know that 230\times 1.07 = 246.1, therefore, the total cost of the phone after tax is $246.1.

I hope I've helped. :D

Enjoy your studies. \o/

4 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
LenKa [72]

Answer:

A

Step-by-step explanation:

120 is the starting value, aka the price of the painting in 2014 before it is increased.

8 0
2 years ago
what is the rate of change and initial value for this graph?
MAXImum [283]

Answer:

4/7

Step-by-step explanation:

the rate of change (aka slope) is the change in y over change in x and as y goes up 4 x goes up 7 so the rate of change is 4/7

have a great day :D

8 0
3 years ago
Apples are $2.49/pound. You need 2.5 pounds to make apple crisp. How much will you spend on apple in total? Show your work for f
Sedbober [7]

Answer:

2.5 is the answer

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is 3w(2+4x-5+y)
Mkey [24]

Answer:

-9w+12wx+3wy

Step-by-step explanation:

just distribute 3w through the parentheses

3 0
3 years ago
Other questions:
  • Write an algebraic expression for "12 less than the quotient of 12 and a number z."
    10·2 answers
  • Please help w number 2 :) A-B
    7·1 answer
  • What is the answer please
    14·2 answers
  • I need help asapppplpplll
    6·1 answer
  • The table shows whether pupils in a class have school dinners
    11·2 answers
  • Solve the problem using long division
    12·1 answer
  • Is g = 2.5 a solution for 11.8 = 9.3 + g Yes or No<br><br> please show work
    14·1 answer
  • a triangle has two sides of length 6 and 1. What is the smallest possible whole-number length for the third side?
    7·1 answer
  • Solve 3m - 6 = 33<br> Your final line must say, m= ...
    10·1 answer
  • Find the slope of the following graph.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!