The clouds are 226.68 meters above the spotlight.
Step-by-step explanation:
Step 1:
The angle measuring device is 65 meters from the spotlight and the angle of elevation from the ground to the spot of light is 74°.
So a right-angled triangle can be formed using these measurements. The angle of the triangle is 74° while the opposite side of the triangle measures x meters while the adjacent side of the triangle measures 65 meters.
We need to calculate the opposites side's length of the triangle.
Step 2:
Since we have the adjacent side's length and need to calculate the opposite side's length we use the tan of the given angle.
The opposite side of the triangle = x meters.
So the spot of light is 226.07 meters above from the spotlight.
7 = r^1/2 is the same as saying 7 = square root of r. So, to get rid of the square root sign on the r, you need to square it, and when you do something to one side of the equation, you have to do the same to the other side. So after squaring both sides, you get 49 = r.
400x1.036 then that multiplied by 1.036 and every answer just multiply by that
Answer:
<u>(x² + 4x + 6)/ 3x + 12</u>
<u>This is the most simplified form</u>
Step-by-step explanation:
Let's simplify the expression:
(x + 6)/(x + 4) + (x - 3)/3
Least Common Denominator : 3 * (x + 4)
[3 * (x + 6) + (x - 3) (x + 4)]/ 3 * (x + 4)
Solving parentheses:
[3x + 18 + x² - 3x + 4x - 12]/ 3 * (x + 4)
Like terms:
<u>(x² + 4x + 6)/ 3x + 12</u>
<u>This is the most simplified form</u>
Percent error = 175/225 * 100 = 77.77% = 78% after rounding-off
