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 standard six-sided die is rolled onto a table. The product of the visible numbers is 144. What is the number on the bottom sid
denis-greek [22]
<h3>Answer:  5</h3>

Explanation:

This is something you could do by trial and error.

The visible numbers are 1,2,3,4,6 which multiply to 144.

Another approach is to notice that 5 is not a factor of 144, so it must be the hidden value not part of the items multiplied.

Every other number 1,2,3,4,6 is a factor of 144.

1*144 = 144

2*72 = 144

3*48 = 144

4*36 = 144

6*24 = 144

8 0
2 years ago
Plssssss shelp meeeeeee
nexus9112 [7]

Answer:

x=4

Step-by-step explanation:

56/14=4

5 0
3 years ago
Read 2 more answers
Isabel bought a new jacket for $48 before tax. She paid 6.5% in sales tax. How much was the sales tax?
AleksandrR [38]
C) $3.12
$48*.065=$3.12
6 0
3 years ago
B+a=12 solve for B?
ivolga24 [154]
B = 12 - a

Subtract a from both sides to isolate b, and you get the answer.
8 0
3 years ago
Read 2 more answers
Please help asap i will mark brainliest i need this now
Brilliant_brown [7]

just look at it and think hard. you got this you don't need to use brainly

6 0
3 years ago
Other questions:
  • Mrs. Ameldo's class has 5 students with blue eyes, 7 with brown eyes, 4 with hazel eyes, and 4 with green eyes. Two students are
    11·1 answer
  • Suppose the height of a punt (in feet) after t seconds can be modeled by the function
    5·1 answer
  • 2x - 4 = 2(x - 2)<br> solve the following problem and identify the type of equation
    5·1 answer
  • "I'm thinking of a fraction that is equivalent to 5/6
    8·1 answer
  • Thank you, please show me the steps.
    12·1 answer
  • A wild 30 points appears!
    7·1 answer
  • I need help please!!
    8·1 answer
  • Help I really need help
    15·2 answers
  • Find the angle in the attachment​
    12·1 answer
  • The table below shows the results of a screening program organized by Level 300 students of the department physiotherapy of the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!