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
To find what y is you have to do y1-y2/x1 - x2
Hope this helped
The number of square feet of the carpet is the area of the carpet
The number of square feet of outdoor carpet is 32 feet
<h3>How to determine the number of square feet</h3>
To do this, we simply divide the carpet to regular shapes.
The outdoor carpet can be divided to the following shapes from top to bottom
- Rectangle of 4 ft by 2 ft
- Rectangle of 6 ft by 2 ft
- Rectangle of 6 ft by 2 ft
So, the area of the outdoor carpet is:
Area = 4 * 2 + 6 * 2 + 6 * 2
This gives
Area = 32
Hence, the number of square feet of outdoor carpet is 32 feet
Read more about areas at:
brainly.com/question/24487155
Answer:
no
Step-by-step explanation:
to determine if (0, 9 ) is a solution substitute x = 0 into the equation and if the result is 9 then it is a solution
y = - 3(0) + 5 = 0 + 5 = 5 ≠ 9
then (0, 9 ) is not a solution to the equation
5/8- I think that is the right answer
