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
rewona [7]
3 years ago
7

Alex is creating an outdoor structure out of two 12 foot boards. The boards must have an angle of elevation

Mathematics
1 answer:
Whitepunk [10]3 years ago
6 0

Answer:

5.0 ft - 5.6 ft

Step-by-step explanation:

Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.

Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;

Tan α = opposite side length/adjacent length

Tan 40°= h/8

h= 8 tan 40° = 6.71 ft

Applying the cosine of an angle formula to find the length of the sliding side

Cosine β = adjacent length /hypotenuse

Cosine 40°= 8/ sliding side length

sliding side length = 8/cosine 40° =10.44 ft

Checking  the perimeter = 10.44 +8+6.71= 25.15 ft

This is more than the total lengths of the boards, so you need to adjust the height as;

24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft

h≤ 5.6 ft

You might be interested in
The function, f(x)=70n-400, models the profit of the instructor of a guitar class per month, where n is the number of students e
zimovet [89]

profit=f(x)

so solve for f(x)=1000

1000=70n-400

add 400 to both sides

1400=70n

divide both sides by 70

20=n

20 students need to be enrolled to make a profit of 1000.00

4 0
3 years ago
How do I simplify this expression?
Novay_Z [31]
Her go your answer!

7 0
3 years ago
Why does it take 30 years to pay $150.000 lan, even though you pay $100 a month
Delicious77 [7]

Answer:

because you have to multiply the 100x12= 1200 than multiply that by another 1200

Step-by-step explanation:

4 0
2 years ago
Naomi recorded the total weight of different numbers of apples. Her results are shown by using the scatterplot and the trend lin
dybincka [34]

Answer:

It's D. The narrative will change depending on the narrator's tone and point of view.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help pls yall i will give brainliest
scoray [572]
A b and E is the answer
6 0
3 years ago
Other questions:
  • What is the slope of (2,5) and (5,8)
    12·1 answer
  • Mira has 3 gallons of orange juice. She said she made 2/4 quarts of orange juice. Explains Mira’s mistake. Please answer :)
    10·1 answer
  • What is 2/9 + 1/9 + 1/6 in fraction form
    14·1 answer
  • A paroxysm of laughter escaped a few. If the ratio of the laughers to the stolid was 2 to 17,and 7600 were in the throng, how ma
    6·1 answer
  • Four speed skaters, Marco
    12·2 answers
  • Please help fast with correct answer no guessing answer. Only answer if actually know the answer
    6·1 answer
  • If x=6 and y=−4, evaluate the following expression:10+5xy​
    9·2 answers
  • True or False. i think this is easy but
    12·1 answer
  • The mapping diagram shows a functional relationship.
    10·1 answer
  • Look at the picture<br><br>​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!