An observer (O) is located 400 feet from a building (B). The observer notices a kite (K) flying at a 29° angle of elevation from his line of sight. How high is the kite flying over the building? You must show all work and calculations to receive full credit. A right triangle is shown with one leg measuring 400 and another leg measuring h, with an angle across from it measuring 29 degrees.

h = 221.7 m

Step-by-step explanation:

It is given that,

An observer (O) is located 400 feet from a building (B). The observer notices a kite (K) flying at a 29° angle of elevation from his line of sight. We need to find how high is the kite flying over the building?

The attached figure shows the whole scenario. It means we need to find the value of h.

Using trigonometry as follows :

So, the bird is flying at a height of 221.7 m over the building.

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: