An irrational number/value is one you cannot express in terms of a ration, or a fraction, it cannot be written as fraction
now 291.87... is simple, two decimals, so you use two zeros at the botom and end up with

and boom, there you are, a fraction, nice and dandy
now, let's see the first one -√(127) well, low and behold, 127 is a prime number, and and thus is has no two factors that'd serve as root, so, there's no rational root that'd give that, that makes it irrational
Noo........................b
Answer:
height of the building is 12.99 feet.
Step-by-step explanation:
given, try to analyse:
- ladder 15 feet long.
- 60 degree angle to the ground.
the height of the building is opposite to the angle 60° and given hypotenuse, the ladder of 15 feet long.
using sine rule:



Therefore the height of the building is 12.99 feet.