Answer:
Step-by-step explanation:
Δy =-4-1 = -5
Δx =-8-(-6) = -2
distance = √((Δx)^2+(Δy)^2) = √(4+25) = √29
Answer:
11
Step-by-step explanation:
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Answer:
The height of the flagpole is 46 feet
Step-by-step explanation:
First we find the ratio to connect the variables
Tan(∅) = opposite/adjacent
Plug in the Variables
Tan(39) = x/50
Solve for x
50*tan(39) = x
x = 40.48
Don't forget to include the man's height
40.48 + 6 = 46.48
For left put 2 on each
On the box over 100 put 82, and put 82 in the box on the right
Answer:
There are two ways to do this problem algebraically or trigonometrically.
Algebraically/geometrically
The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.
The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3
Using Trig.
We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).
Therefore, sin(pi/3) = 6/r =
r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3
