X = height of pole (in meters)
With respect to the 50 degree angle, the side x is the opposite leg. It is the leg furthest from the reference angle. The hypotenuse is 5 meters.
The trig function sine ties together the opposite and hypotenuse
sin(angle) = opposite/hypotenuse
sin(50) = x/5
5*sin(50) = x .... multiply both sides by 5
x = 5*sin(50)
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Since x = 5*sin(50) isn't listed as an answer choice, let's try using cosine. We can't use it right away because we don't know the adjacent side. What we can do is change the reference angle. The missing angle of the triangle is 90-50 = 40 degrees. Let's make the 40 degree angle the reference angle
So x is now the adjacent side with respect to the 40 degree reference angle. The hypotenuse is always the longest side. The hypotenuse stays at 5.
cos(angle) = adjacent/hypotenuse
cos(40) = x/5
5*cos(40) = x
x = 5*cos(40)
This expression is listed. The answer is choice B
John spent 30 on six cars 5 times 6 = 30
Answer:
2/3 , 13/18, 7/9 , 5/6 (least to greatest order)
Step-by-step explanation:
1. You need to convert all the fractions into decimal form .
2. 7/9.00 = 0.78 (rounded)
3. 13/18.00 = 0.72
4. 5/6.00 = 0.83
5 . 2/3.00= 0.67 (rounded)
Answer:
X= 360- (180+35)
X= 145
Step-by-step explanation:
since angle at a point is same as angle in a circle =360°
And we've being given two values out of three that makes up the point. so we subtract the sum of the two values from the size of angle at a point
8^6 ÷ 4^3
8^6 = 262,144
4^3 = 64
So, 262,144 ÷ 64 = 4,096.
Done!
