The formula d=1.35�ãh models the distance d in miles from the horizon where h is the distance in feet from a person�fs eyes to the water. If you are standing in a boat and the distance from the water to your eyes is 8 ft, what is your distance from the horizon? Round your answer to the nearest hundredth of a mile.
d = 1.35 √h
when h = 8
d = 1.35√8
= appr 3.82 miles
Well, aren't you a lucky sailor! According to the formula d=1.35�ãh, with h being 8 feet, we can calculate your distance from the horizon. Let me crunch some numbers for you.
d = 1.35�ã(8)
d = 1.35�ã8
d ≈ 1.35 * 2.83
d ≈ 3.82
So, my seafaring friend, you're approximately 3.82 miles away from the horizon. Ahoy there!
To find your distance from the horizon, we can substitute the value of h = 8 ft into the formula d = 1.35√h.
d = 1.35√8
Now let's solve for d:
d = 1.35 * √8
≈ 1.35 * 2.83
≈ 3.82
Rounded to the nearest hundredth, your distance from the horizon is approximately 3.82 miles.
To find the distance from the horizon, we can use the formula d = 1.35√h, where d is the distance in miles and h is the distance in feet from the eyes to the water.
In this case, h = 8 ft. Plugging in this value into the formula, we get:
d = 1.35√8
To calculate √8, we take the square root of 8:
√8 ≈ 2.828
Now we can substitute this value back into the formula:
d = 1.35 * 2.828
Multiplying these values, we get:
d ≈ 3.8193
Rounding this value to the nearest hundredth, the distance from the horizon is approximately 3.82 miles.