Aperson standing at the top of mountain rainier would be approximately 2.7 mi high. the radius of earth is 3959 mi. what is the distance to the horizon from this point? enter your answer as a decimal in the box. round only your final answer to the nearest tenth.

Step-by-step explanation:

Given: The approximate height of Mountain Rainier h= 2.7 miles

The radius of earth = 3959 miles.

Let d be the distance to the horizon from this point.

We know that the line of sight to the horizon , the radius at the horizon and the radius at the mountain from a right angle triangle.

Therefore, by Pythagoras's theorem we have

Hence,  the distance to the horizon from this point=

450 is the final answer! : )

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: