Answer: 113.0 ft (bottom right corner)
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Explanation:
The triangle has a horizontal leg of 220 ft and a vertical leg of x ft. We'll use the tangent rule to connect the opposite side and adjacent side
opposite side = x
adjacent side = 220
this is with the reference angle shown in the diagram
So,
tan(angle) = opposite/adjacent
tan(26) = x/220
220*tan(26) = x
x = 220*tan(26)
x = 107.301169 ... see note below
x = 107.3
Now that we know the approximate value of x, we add on 5.7 to get
x+5.7 = 107.3+5.7 = 113.0
note: make sure your calculator is in degree mode. The value is approximate to 6 decimal places
Answer:
4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 45 = s / 4 sqrt(2)
Multiply each side by 4 sqrt(2)
4 sqrt(2) *sin 45 = s
4 sqrt(2) * 1/ sqrt(2) =s
4
<span>Given- f(x) = 2x + 5
g(x) = (-1/3)x + 2 , f(1)/g(3) = ?
Solution- f(1) = 2*1 + 5
f(1) = 7
g(3) = (-1/3)*3 + 2
g(3) = -1 + 2
g(3) = 1
So, f(1)/g(3) = 7/1
f(1)/g(3) = 7</span>
9/r= 3/10
Cross multiply:
3*r= 9*10
⇒ r= 9*10/3
⇒ r= 30
The final answer is 30~
