Answer:
length of the ladder is 13.47 feet
base of wall to latter distance 6.10 feet
angle between ladder and the wall is 26.95°
Explanation:
given data
height h = 12 feet
angle 63°
to find out
length of the ladder ( L) and length of wall to ladder ( A) and angle between ladder and the wall
solution
we consider here angle between base of wall and floor is right angle
we apply here trigonometry rule that is
sin63 = h/L
put here value
L = 12 / sin63
L = 13.47
so length of the ladder is 13.47 feet
and
we can say
tan 63 = h / A
put here value
A = 12 / tan63
A = 6.10
so base of wall to latter distance 6.10 feet
and
we say here
tanθ = 6.10 / 12
θ = 26.95°
so angle between ladder and the wall is 26.95°
Answer:
The answer is 0.00005 meters
Explanation:
In order to determine the diameter in meters, you have to know the meaning of the unit [um]. This unit is called "micrometer" and its value is m.
Then, we change the [um] unit into its expanding form:
50 um=
Finally, the diameter in meters is 0.00005 meters.
There are several information's already given in the question. Let us write them down first.
Radius of the tank = 3 feet
Height of the tank = 10 feet
Value of pi = 3.14
Then
Volume of the cylindrical tank = 3.14 * (3)^2 * 10
= 3.14 * 9 * 10
= 282.6 ft^3
Now
Heating capacity of 1 cubic foot of natural gas = 1030 BTU's
Then
Heating capacity of 282.6 cubic foot of natural gas = 1030 * 282.6
= 291078 BTU's
I hope the procedure is clear enough for you to understand.