The <span>Pythagorean Theorem tells us that

where c is the </span><span>hypotenuse and a and b are the other two sides. To solve for one of the shorter sides we need to rearrange:

We can then substitute known values, and solve:
</span>



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
If each person got 1/6 then there is still 2/6 left over, =1/3. In fraction strips, we would do
1
1/3 1/3 1/3 1/3
1/6 1/6 1/6 1/6 1/6 1/6 for the overall tomato and then 1/6 1/6 for the remaining piece of the tomato.
Hope this helps, if you need any more help just comment :)
Using the place value chart we can see that the decimal 0.6 is six tenths, so we can write 0.6 as the fraction
. Notice however that
is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.
-Image Provided-
Answer:
Maybe you can have someone read it to you to see if you can answer it that way after you answer it on your own a cupple of times
Step-by-step explanation: