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
The sum of two numbers and their difference is 30.
Hi there!
So -5 1/2 + 7 3/4 is
Improper fraction: 9/4
Decimal: 2.25
Mixed Number: 2 1/4
Answer:
false
Step-by-step explanation:
Answer:
Option D. 3.73
Step-by-step explanation:
we know that
and
step 1
Find cos(X)
we have
we know that
substitute
step 2
Find tan(x)
substitute
step 3
Find sin(y)
we have
we know that
substitute
step 4
Find tan(y)
substitute
step 5
Find tan(x+y)
substitute
![tan(x+y)=[1/\sqrt{3}+1}]/[{1-1/\sqrt{3}}]=3.73](https://tex.z-dn.net/?f=tan%28x%2By%29%3D%5B1%2F%5Csqrt%7B3%7D%2B1%7D%5D%2F%5B%7B1-1%2F%5Csqrt%7B3%7D%7D%5D%3D3.73)
