Answer:
x = 73.17
Step-by-step explanation:
To solve this problem we are going to have to use trig function
The three main trig functions are
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Hypotenuse
( where hypotenuse = longest length , opposite = side length opposite of angle and adjacent = other side length )
Here, we are given two side lengths and we want to find an angle.
We are given the hypotenuse and its adjacent ( we know this because we are not given its opposite )
When you have the adjacent and hypotenuse you use cosine.
So we have Cos"x" = adj / hyp
adj = 22 and hyp = 76
So Cos"x" = 22/76
==> take the inverse of cos to both sides
x = 73.17 ( rounded to the nearest hundredth )
and we are done!
Answer:
last 4rd
Step-by-step explanation:
CHECK THE ATTACHED FIQURE FOR THE BRIDGE
Answer:
60 ft
Step-by-step explanation:
From the question we know that triangles ABC and EDC are in a 1:1 with this given ratio it implies that
triangles ABC and EDC are congruent then we can say
side EC = side AC
3x + 9 = 5x - 5
Then we can simplify to know value of x
3x + 14= 5x
2x = 14
x = 7
But we know that AC= 5x - 5 , then substitute value of x into it
AC = 5x + 5 = 5(7) - 5
= 35 - 5
AC= 30 ft
Also EC= 3x + 9 then substitute value of x into it
EC = 3x + 9 = 3(7) + 9
= 21 + 9
EC= 30 ft
Then the the distance between the top and bottom of the bridge, in feet, = EC+AC
= 30 + 30 = 60 ft
Answer:
1008
Step-by-step explanation:
geometric sequence:
a=16
r=32/16=2
Sum of GS:
s=a(1-r^n)/(1-r)
S(6)=16(1-2^6)/(1-2)
=1008
