We have been given that 
and angle A is in quadrant 1. We are asked to find the exact value of 
in simplest radical form.
We know that sine relates opposite side of right triangle with hypotenuse.
This means that opposite side is 12 units and hypotenuse is 13 units.
We know that cotangent relates adjacent side of right triangle with adjacent side.
Now we will find adjacent side using Pythagoras theorem as:
Let us take positive square root on both sides:
Therefore, adjacent side of angle A is 5 units.
Therefore, the exact value of cot A is 
.
First, let's find what √14 equals.
√14 ≈ 3.74
Now, we can solve for all the answer choices.
Option A:
19/6 = 3.1666...
22/7 = 3.1428...
Option B:
Doesn't need to be solved.
3.17
3.71
Option C:
√4 = 2
√9 = 3
Option D:
Doesn't need to be solved.
3.70
3.75
The only option that contains √14 between it, is Option D.
Hope This Helped! Good Luck!
Answer: that is equivalent to 447
Step-by-step explanation:
First convert everything into inches.
1 foot = 12 in
5 feet = 5*12 = 60 in
12 feet = 12*12 = 144 in
Now add them together
60 + 9 + 144 + 3 = 216 in
or
18 feet
Hope this helps :)
