Answer:
h = 7.5 foot
Step-by-step explanation:
Given that,
John has a 10 foot ladder leaning against a wall at an angle of elevation of 53.13 degrees.
We need to find the height where the ladder meet with the wall.
Let Perpendicular = 10 foot
Angle of elevation, 
Let h be the height (Hypotenuse). Using trigonometry,
So, the ladder will meet the wall at a height of 7.5 foot.
37 x 10 = 370
21 x 11 = 231
Mark worked 21 Hours, Jack worked 37 Hours.
Answer:
7 miles
Step-by-step explanation:
Let's call the distance between the library and police station x. Then, the distance between the police station and fire station would be 3 less than twice x. Twice means multiply by 2 so twice x is 2 * x = 2x and 3 less than means that you subtract 3 so 3 less than 2x is 2x - 3. Now, we know that x = 5 so all we have to do now is substitute x = 5 into 2x - 3, therefore, the answer is 2 * 5 - 3 = 7 miles.
Answer:
C. 16
Step-by-step explanation:
The distance between two points on the number line is the absolute value of the difference of their coordinates.
If the coordinates of two points on the number line are a and b, then the distance between the two points is
d = |a - b|
The coordinates here are -9 and 7.
distance = |-9 - 7| = |-16| = 16
