Answer:
The angle between the ladder and the wall is of approximately 32 degrees 
, which agrees with the answer marked as "B" in the list of options.
Step-by-step explanation:
Notice that the wall and the floor make a right angle, and the ladder lining against the wall makes the hypotenuse of a right angle triangle.
See the attached image for explanation, and for the angle 
that we are trying to find, which is formed between the ladder and the wall.
Notice as well that the 8 ft section of the wall, is an "adjacent" side of the angle , and that the 5 ft segment between the wall and the base of the ladder is the "opposite" side to the angle.
We can then use the "tangent" of the angle which is defined as the quotient between the opposite side divided the adjacent side to investigate the measure of the angle . We will use the "arctangent" to solve for the angle:
which can be rounded to 
A) a number that is divisible by ten is also factors of five
SOH-CAH-TOA
sin Q = <u>Opposite</u> = <u>26</u>
hypotenuse x
sin 54 = <u>26</u>
x
x sin 54 = 26
<u>x sin 54</u> = <u> 26 </u>
sin 54 sin 54
x = <u> 26 </u> = 32.1378 ≈ 32.1 feet
sin 54
Answer:
It will take 5/12 hours.
Step-by-step explanation:
Given,
The speed of turtle = 
km per hour,
Distance covered = 
km,
Since,
Hence, the speed of turtle = 
hour.
Answer:
20 = 6m or m = 20/6 = 10/3
Step-by-step explanation:
Let's say Samantha has s marbles and Paul has m marbles.
We know that s = 20 and that Samantha has 6 times as many marbles as Paul. This means s = 6m.
Substitute 20 in for s:
20 = 6m
m = 20/6
Thus, the equation is m = 20/6.
<em>~ an aesthetics lover</em>
