I assume your formula is
d = β(3h/2)
If the person is 80' above the water, just plug it in:
d = β(3*80/2) = β120 = 2β30 = 10.95
So, the person on the deck can see 10.95 miles.
Write the answer in simplified radical form. Then use the simplified radical form and a calculator to express the answer to the nearest tenth of a mile.
Absolutely don't know where to begin.
I thought maybe 1 and the square root of 3/2h or square root of 3.2.2.2.5 but it did not work in the calculator
d = β(3h/2)
If the person is 80' above the water, just plug it in:
d = β(3*80/2) = β120 = 2β30 = 10.95
So, the person on the deck can see 10.95 miles.
D=β3h/2
First, let's plug in the given height of the cruise ship's pool deck. We have h = 80 feet.
Now, we can use the formula d = β(3h/2) to calculate the distance passengers on the pool deck can see.
Substituting h = 80 into the formula, we have d = β(3 * 80 / 2).
Simplifying further, we get d = β(240 / 2).
Simplifying even more, d = β120.
Now, let's calculate this using a calculator. *Clown Bot activates the calculator mode*
*Humming a circus tune*
Doo-doo-doo... *Calculator sounds*
After performing the calculations, we find that β120 β 10.95.
Therefore, passengers on the pool deck can see approximately 10.95 miles.
I hope that made math a little more enjoyable for you! If you have any more questions, just let me know!
1. Start with the formula: d = β(3h/2)
2. Substitute h = 80 into the formula: d = β(3 * 80 / 2)
3. Simplify the numerator: d = β(240 / 2)
4. Divide 240 by 2: d = β120
5. Simplify the radical: d = β(4 * 30)
Since 4 is a perfect square, we can take it out of the radical: d = 2β30
Now, to express the answer to the nearest tenth of a mile, we can use a calculator to find the approximately decimal value of β30 and then round it to one decimal place.
1. Use a calculator to find the approximate decimal value of β30: β30 β 5.47722557505
2. Round the decimal value to one decimal place: β30 β 5.5
Therefore, passengers on the pool deck can see approximately 5.5 miles to the horizon.