Here we have a relatively basic trigonometry problem using a right triangle.
We are looking to calculate the value of the side OPPOSITE to our given angle of 36 degrees. We are given the length of the side ADJACENT to this angle. Using this knowledge, we must first determine what trigonometric ratio we need to use.
For the purpose of answering this question, I will label the angle of 36 degrees angle A.
Because of the values we have been given, the best ratio to use would be:
sin(A) = opposite/hypotenuse
So, if we plug in our known and unknown values, we end up with:
sin(36) = x / 11
To find x, we must first try and get x on one side of the equation, so I am going to do that by multiplying both sides by 11, giving us this equation:
11 × sin(36) = x
Next, multiply (( 11 × sin(36) )), and this will give you the value the length of side X.
So, your answer should end up as 6.5 if we round the decimal.
I suspect that you might mean 'crimes' and 'police'. If that's the case,
then what we have here is a sentence that has not been proofread
for errors, and doesn't ask any question. I'm not going to worry about it.
Answer:
Step-by-step explanation:
1. Set 3x + 20 and 5x - 50 equal to each other
3x + 20 = 5x - 50
3x = 5x - 70
-2x = -70
x = 34
2. Once you've solved for x plug that in to 3x + 20 or 5x + 50
3(35)+ 20
105 + 20
125
3. After plugging in the x take that answer and subtract from 180 which will give you y
180 - 125 = y
55 = y
Evaluate <span><span>cos<span>(10)</span></span><span>cos10</span></span> to get <span>0.984807750.98480775</span>.<span><span><span>0.98480775<span>cos<span>(80)</span></span></span><span><span>−<span>sin<span>(10)</span></span></span><span>sin<span>(80)</span></span></span></span><span><span>0.98480775<span>cos80</span></span><span><span>-<span>sin10</span></span><span>sin80</span></span></span></span>Evaluate <span><span>cos<span>(80)</span></span><span>cos80</span></span> to get <span>0.173648170.17364817</span>.<span><span><span>0.98480775⋅0.17364817</span><span><span>−<span>sin<span>(10)</span></span></span><span>sin<span>(80)</span></span></span></span><span><span>0.98480775⋅0.17364817</span><span><span>-<span>sin10</span></span><span>sin80</span></span></span></span>Multiply <span>0.984807750.98480775</span> by <span>0.173648170.17364817</span> to get <span>0.171010070.17101007</span>.<span><span>0.17101007<span><span>−<span>sin<span>(10)</span></span></span><span>sin<span>(80)</span></span></span></span><span>0.17101007<span><span>-<span>sin10</span></span><span>sin80</span></span></span></span>Evaluate <span><span>sin<span>(10)</span></span><span>sin10</span></span> to get <span>0.173648170.17364817</span>.<span><span>0.17101007<span><span><span>−1</span>⋅0.17364817</span><span>sin<span>(80)</span></span></span></span><span>0.17101007<span><span><span>-1</span>⋅0.17364817</span><span>sin80</span></span></span></span>Multiply <span><span>−1</span><span>-1</span></span> by <span>0.173648170.17364817</span> to get <span><span>−0.17364817</span><span>-0.17364817</span></span>.<span><span>0.17101007<span><span>−0.17364817</span><span>sin<span>(80)</span></span></span></span><span>0.17101007<span><span>-0.17364817</span><span>sin80</span></span></span></span>Evaluate <span><span>sin<span>(80)</span></span><span>sin80</span></span> to get <span>0.984807750.98480775</span>.<span><span>0.17101007<span><span>−0.17364817</span>⋅0.98480775</span></span><span>0.17101007<span><span>-0.17364817</span>⋅0.98480775</span></span></span>Multiply <span><span>−0.17364817</span><span>-0.17364817</span></span> by <span>0.984807750.98480775</span> to get <span><span>−0.17101007</span><span>-0.17101007</span></span>.<span><span>0.17101007<span>−0.17101007</span></span><span>0.17101007<span>-0.17101007</span></span></span>Subtract <span>0.171010070.17101007</span> from <span>0.171010070.17101007</span> to get <span>0</span>.0
