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.
3/5 miles = 0.6 miles
0.6/4= 0.15 miles
Nikki walked 0.15 miles or 3/20 miles.
Multiply the bottom of the fractions together (4*5=20) and the tops (3*1=3) to get 3/20.
Answer:
A) 40/49
B) 36/42
Step-by-step explanation:
Given:
Red Balls, R : 4
White Balls, W : 3
Total Balls : 3+4=7 balls
A) If balls were replaced before the 2nd draw
P (White) = 3/7; P(Red) = 4
P(at least 1 red ball),
= 1 - P(no red balls)
= 1 - P(White, White)
= 1 - (3/7)(3/7)
= 1-(9/49)
= 40/49
A) If balls were replaced before the 2nd draw
P(1st White Ball) = 3/7 ; P(2nd White Ball) = 2/6
P(at least 1 red ball),
= 1 - P(no red balls)
= 1 - P(1st White, 2nd White)
= 1 - (3/7)(2/6)
= 1 - 6/42
= 36/42
You get the answer x+5/x+3.
This is because all of the fractions have the same denominator, so just add the numerators and put them over x+3.