ANSWER:
2.33 foot
STEP-BY-STEP EXPLANATION:
We can calculate the distance from the staircase to the wall, by means of the trigonometric cosine ratio, which is the following:

Replacing and solving for x:

The distance would be 2.33 foot
Answer: 
Step-by-step explanation:
To polygons are said to be similar if all the corresponding angles of given polygons are equal.
In the given figure, it can be seen that in quadrilateral FSHB and quadrilateral KTWJ all the corresponding angles are equal.
∠F=∠K
∠S=∠T
∠H=∠W
∠B=∠J
Therefore, The given polygons are similar.
Hence, 
Answer:
B
Step-by-step explanation:
I took the test
Answer:
both are -10
Step-by-step explanation:
#1
x1 y1 x2 y2
1.5 180 6 135
(Y2-Y1) (135)-(180)= -45 ΔY -45
(X2-X1) (6)-(1.5)= 4.5 ΔX 4.5
slope= -10
B= 195
Y =-10X +195
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#2
x1 y1 x2 y2
1 175 8 105
(Y2-Y1) (105)-(175)= -70 ΔY -70
(X2-X1) (8)-(1)= 7 ΔX 7
slope= -10
B= 185
Y =-10X +185
Answer:
300
Step-by-step explanation:
Students like Vanilla ice cream = 86
Out of 86 Students like chocolate ice cream too = 48
So, No. of students who like only vanilla=86-48 = 38
There were 12 students who did not like vanilla ice cream but liked chocolate ice cream.
There were 2 students who did not like either vanilla ice cream or chocolate ice
Like Vanilla Did not like vanilla Total
Like Chocolate 48 12 60
Did not like chocolate 38 2 40
Total 86 14 100
No. of students who like chocolate out of 100 = 60
Now we are supposed to find the number of students who would like chocolate ice cream when 500 high school students participate in the survey.
Let x be the number of students out of 500 who like chocolate
So, A.T.Q



Hence the number of students who would like chocolate ice cream when 500 high school students participate in the survey is 300.