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.
Answer:
The answer is option 4.
Step-by-step explanation:
You have to use Indices Law,


So for this question :






From 1846 to 1847 it’s -40% and from 1847 to 1848 it’s 123.3%
C= x2-x1/ x-1
Answer:
I hope this helps you
Step-by-step explanation:
The answer is 4
Answer:
18 and 11/16
Step-by-step explanation:
I converted the two numbers into improper fractions which leaves me with
71/8+157/16
I thenn made sure I had common denominators, which means I need to multiply the first number by 2/2 and I'm left with:
142/16+157/16
I can now add the 2 numbers together and I get:
299/16
now we just need to convert the number into a mixed number by dividing, and I am left with:
18 and 11/16