The angle of elevation of a ladder is 19∘ and the ladder is 12 feet from the wall.

What is the height of the ladder in feet?

Enter your answer as a number rounded to the nearest tenth of a foot

x = 12.1 feet

Step-by-step explanation:

Let x = the height of the ladder, or the hypotenuse

12 ft = the distance the ladder is from the wall, or the base of a triangle

the angle next to the base is 19 degrees

We would be using the adjacent side, and the hypotenuse, so COS

COS 19 = 12/x

x = 12

cos 19

x = 12.1 feet

Step-by-step explanation:

We use Sine because we are dealing with the Opp and Hyp.

Sin 19 = 12/x

x Sin 19 = 12

x = 12/Sin 19

x = 38.86 feet

x = 39.9 feet