Question

Before radar and sonar, sailors would climb to the top of their ships to watch for land or changes in weather. If the lookout at the top of the mast can see an island seven miles away, about how tall is the mast? Round your answer to the nearest whole number if necessary. Use the formula for the relationship between height (h) and visibility - how far you can see, (d):

Answer 1

D = 5/6 sqrt(h)
7 = 5/6 sqrt(h)
42/5 = sqrt(h)
h = (42/5)^2 = 1,764/25 = 70.56

The height of the mast is 70.56 miles

Answer 2

Answer:

71 miles

Step-by-step explanation: