I think it is 36^2+12ab+b^2
4 shelves the first three shelves can hold 8 books each and the fourth shelf has 3 books on that shelf so altogether 4 shelves for 27 books
You can use the Law of Cosines, if only one of which is missing: three sides and one angle. Hence, if the known properties of the triangle is SSS(side-side-side) or SAS (side-angle-side), this law is applicable.
You can use the Law of Sines if you want to equate the ratio of the sine of an angle and its opposite side. This can be used if the known properties of the triangle is ASA(angle-side-angle) or SAS.
The ambiguous case is the SAS triangle. This could be easily solved using Law of Sines than Law of Cosines. Take for example: side a = 4, side b = 10, angle A = 23°. Then, we can determine angle B through Sine Law.
sin 23°/4 = sin B/10
B = 77.64°
So we know 1/3 of an inch is the same as 1 foot. Which is 12 inches.
So it's easier to calculate, we can say that 1/3*3 = 1. Therefore, we don't have to deal with fractions.
This means that we need to multiply 3 * 12 = 36 to find out how many 1/3's we need. So multiply 1/3 by 36 to double-check:
1/3 * 36 = 12.
The question is asking us the actual height. And we know 1 foot = 1/3 inches.
1 * 36 = 36 feet.
Another way to do it is, we know that there are 3 1/3's to get to 1. Which means it's 3 feet IRL. We know we gotta multiply by 12 to get to 12, so
3*12 = 36.
