Answer: 40.96 meters.
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the trigonometric functions.
sin α = opposite side / hypotenuse
Where α is the angle of elevation of the string to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the string), and the opposite side (x) is the length of the kite above the ground
Replacing with the values given:
sin 55 = x/ 50
Solving for x
sin55 (50) =x
x= 40.96 m
Feel free to ask for more if needed or if you did not understand something.
The answer is 45 i took the test i got it correct
- Slope Formula:
![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
So remember that <u>perpendicular lines have slopes that are negative reciprocals to each other</u> and <u>parallel lines have the same slope.</u> To find out if they are either parallel or perpendicular, plug the pair of points into the slope formula to find their slopes:
![\textsf{Line 1}\\\\\frac{5-(-2)}{1-3}=-\frac{7}{2}\\\\\textsf{Line 2}\\\\\frac{0-2}{4-(-3)}=-\frac{2}{7}](https://tex.z-dn.net/?f=%5Ctextsf%7BLine%201%7D%5C%5C%5C%5C%5Cfrac%7B5-%28-2%29%7D%7B1-3%7D%3D-%5Cfrac%7B7%7D%7B2%7D%5C%5C%5C%5C%5Ctextsf%7BLine%202%7D%5C%5C%5C%5C%5Cfrac%7B0-2%7D%7B4-%28-3%29%7D%3D-%5Cfrac%7B2%7D%7B7%7D)
Since these slopes aren't the same nor are they negative reciprocals to each other, <u>the lines are neither parallel nor perpendicular.</u>
In this question we are not told the the measurements of the horse pasture
5m+6+m-18=60That's a linear equation in 'm '. There's only one number that 'm' can be
that makes the equation true. The assignment is usually to find out what
that number is.
Before we get carried away and confuse ourselves, let's do some work
on the left side, and try to make it simpler.
Do you see that ' 5m ' and that ' +m ' ? We can combine them, and write ' 6m '.
Do you see that ' +6 ' and that ' -18 ' ? We can combine those, and write ' -12 '.
Now the equation is much simpler:
6m - 12 = 60
Add 12 to each side:
6m = 72
Divide each side by 6 :
<u>m = 12 </u>