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
FInd each error and make the corrections
Zepler [3.9K]

Answer:

5) EG=HG because it's corresponding part of congruent triangles are congruent (CPCTC)

8 0
3 years ago
When you have 6 significant numbers and want to get 9 what do you do
Leno4ka [110]
I think u add not sure though
8 0
3 years ago
Read 2 more answers
Can somebody help me please?
madreJ [45]
Factor
(x+7)(x-2)

Proof
7-2=5
7*-2=-14

Zeros
x+7=0
x=-7

x-2=0
x=2

Final answer: C

3 0
3 years ago
Read 2 more answers
What’s the vertex of the graph of the function y=x^2-8x+12
myrzilka [38]

Answer:

The vertex is 4

6 0
3 years ago
Pls help pls and thank you
Ad libitum [116K]

Answer:

What help????????????????¿???????

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the solution set for 3x+2y=8 2x-2y=2
    11·1 answer
  • Can you help me with theses problems plz.Also can you explain to me how to get it.Thank you
    8·1 answer
  • A volleyball player serves the ball from a height of 6.5 feet above the ground with an initial vertical velocity of 21 feet per
    14·1 answer
  • Can someone please help me with this
    13·2 answers
  • 9) y=x+ 11; (4, 13)​
    8·2 answers
  • Round to the nearest given place.<br> 1.94155 thousandths
    12·2 answers
  • A heart beats 264 beats in 3 minutes. What is the unit rate?
    14·2 answers
  • PLEASE ANSWER ASAP. How are direct democracy and representative democracy similar?
    13·1 answer
  • Answer this please !!!!!!
    11·1 answer
  • For the function f(x) = −2x − 9, identify the values of f(0), f(1/2), and f(−2)
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!