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
Ulleksa [173]
4 years ago
5

A ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 23​-foot ​ramp, to the nearest

tenth of a​ degree, if its final height is 5 feet.
Mathematics
1 answer:
Usimov [2.4K]4 years ago
3 0

Answer:

the angle of elevation is 12.56°

Step-by-step explanation:

the height of the ramp represents the opposite side and the length of the ramp the hypotenuse

we see that it has (angle, hypotenuse, opposite)

well to start we have to know the relationship between angles, legs and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we choose the one with opposite and hypotenuse

sin α = o/h

sin α = 5ft / 23ft

sin α = 5/23

α = sin^-1 ( 5/23)

α = 12.56°

the angle of elevation is 12.56°

You might be interested in
What is 50% of the sum of the first 10 odd numbers
avanturin [10]

Answer:

50

Step-by-step explanation:

1+3+5+7+9+11+13+15+17+19= 100/2= 50

7 0
3 years ago
Which number is an irrational number?
EastWind [94]
The answer is d. it isn’t an exact number
5 0
3 years ago
6/7 plus 4/5 times 4/5
Art [367]

Answer:

1.49714285714

Step-by-step explanation:

6/7+4/5*4/5

=6/7+0.64

=1.49714285714

8 0
3 years ago
Determine whether each event is possible or impossible on a 6-sided cube where the numbers are 1 through 6.
tankabanditka [31]

Answer:

Step-by-step explanation:

Possible:

Rolling a 1

Rolling a number less than 7

Rolling an even number

Impossible:

Rolling a number greater than 10

Rolling an 8

4 0
2 years ago
There are 8 members on a board of directors. if they must form a subcommittee of 6 members, how many different subcommittees are
Shtirlitz [24]
1. Given a group of n people. There are C(n, r) ways of forming groups of r out of n.

2. Where C(n, r)=\frac{n!}{r!(n-r)!}

3. For example, given {Andy, John, Julia}. We want to pick 2 people to give a gift: we can pick {(Andy, John), (Andy, Julia), (John, Julia)}, so there are 3 ways. So we can list and count.

4. Or we could do this with the formula C(3, 2)=\frac{3!}{2!(1)!}= \frac{3*2*1}{2*1}=3

5. C(8, 6)=\frac{8!}{2!6!}= \frac{8*7*6!}{2*6!}= \frac{8*7}{2}= 4*7=28

So there are C(8,6)=28 ways of chosing 6 out of 8 people to form the subcommittees. <span />
5 0
3 years ago
Other questions:
  • Explain how to use grouping symbols to organize information
    5·1 answer
  • What is the measure of A ? ​
    11·2 answers
  • What is the point slope point form of the line with slope -3/7 that passes through the point (5,8)
    15·1 answer
  • 9) Order the fractions from least to greatest. 2 4 , 4 5 , 7 10 , 2 3 A) 2 4 , 7 10 , 2 3 , 4 5 B) 7 10 , 2 4 , 2 3 , 4 5 C) 2 4
    6·1 answer
  • The measure of an angle is 135 degrees. What is the measure of its supplementary angle ?
    5·1 answer
  • Using the following function rule F(x) = 5^x + 5, the value of
    8·1 answer
  • Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form or standard form. Expres
    9·2 answers
  • PLS HELP WITH THIS ILL GIVE BRAINLIST
    6·2 answers
  • Fond the slope and the y-intercept of the line y=2-9x
    9·2 answers
  • How to find the missing side of a triangle in trig for geometry
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!