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Math  /  Algebra

QuestionThe maximum distance dd in kilometers that you can see from a height of hh meters is given by d=3.5hd=3.5 \sqrt{h}. Find the distance you can see from the top of a tower that is 241.9 meters high. d≈\mathrm{d} \approx □\square □\square (Type an integer or decimal rounded to the nearest tenth as needed.)

Studdy Solution

STEP 1

1. The formula for the maximum distance d d you can see from a height h h is given by d=3.5h d = 3.5 \sqrt{h} .
2. The height h h of the tower is 241.9 meters.
3. We need to find d d and round it to the nearest tenth.

STEP 2

1. Substitute the given height into the formula.
2. Calculate the square root.
3. Multiply by the constant.
4. Round the result to the nearest tenth.

STEP 3

Substitute the given height into the formula.
Given h=241.9 h = 241.9 , substitute into the equation:
d=3.5241.9 d = 3.5 \sqrt{241.9}

STEP 4

Calculate the square root of 241.9.
241.9≈15.556 \sqrt{241.9} \approx 15.556

STEP 5

Multiply the square root by the constant 3.5.
d=3.5×15.556 d = 3.5 \times 15.556
d≈54.446 d \approx 54.446

STEP 6

Round the result to the nearest tenth.
d≈54.4 d \approx 54.4
The distance you can see from the top of the tower is approximately:
54.4 \boxed{54.4}

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