From the top of mt washington, which is 6288 feet above sea level, how far is it to the horizon? assume that the earth has a 3960-mile radius (one mile is 5280 feet), and give your answer to the nearest mile.

the radius of earth = 3960 miles

1 mile = 5280 feet

radius of earth in feet = 3960*5280 = 20,908,800 feet

height of mount washington = 6288 feet

we assume that the radius of the earth represents the distance from the earth to the horizon. so the distance to the horizon from mount washington would be the radius of the earth less the height of mount washington

height from mount washington to horizon = radius of earth in feet - height of mount washington

height from mount washington to horizon = 20,908,800-6,288 = 20,902,512 feet

height from mount washington to horizon (in miles) =20,902,512/5280 = 3958.81 miles

height from mount washington to horizon (in miles) = 3,959 miles (rounded to the nearest mile)

The value of square root of 75 is 8.65.

Step-by-step explanation:

Since we have given that

a) Explain why her reasoning is incorrect.

Her reasoning is incorrect.

As we can write it as :

(b) Estimate the square root of 75 to the nearest thousandths without using your calculator. Show

As we know that

So, the square root of 75 would be :

Hence, the value of square root of 75 is 8.65.