If a 15 foot ladder reaches 14 feet up a building, what angle does the ladder make with the ground? (to the nearest WHOLE DEGREE)

x = 69°

Step-by-step explanation:

In the picture attached,

Length of the ladder = 15 ft

This ladder reaches the height of a building = 14 ft

We have to find the measure of angle formed between the base of the ladder and the ground.

By applying Sine rule in the right triangle formed,

sin(x)° =

sin(x)° =

x =

x = 68.96°

x ≈ 69°

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

jwjeh; hw; kjhekjhkjhwkejhkw

step-by-step explanation: