The base of a 20-foot ladder is placed 12 feet from a building. how far up on the building does the ladder reach? 16 ft 8 ft 23 ft 4 ft

answer is:

16 feet.

Step-by-step explanation:

We are given that:

The base of a 20-foot ladder is placed 12 feet from a building.

Now we re asked to find how far up on the building does the ladder reach?

i.e. we can consider a right angled triangle such that the base is given to be 12 feet.

the length of hypotenuse is given to be= 20 feet.

Now we are asked to find the height of a right angled triangle.

Let us consider ΔABC.

such that ∠B=90°, BC=12 feet, AC=20 feet

Now we can  use pythagorean theorem to find out the length of side AB.

Hence, ladder is 16 feet above the ground level.

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.