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Lostsunrise [7]
3 years ago
6

Kingston went parasailing in the Maldives to celebrate his graduation from Stanford Medical School. He wanted to find out the le

ngth of the rope while he floats in the air. He flew 300 feet above the water. The boat driver informed him the angle of elevation from the boat to that height is typically 45.5 degrees. Enter the length, in feet, of the rope. Round the answer to the nearest whole foot.
Mathematics
1 answer:
nata0808 [166]3 years ago
4 0

Answer:

The length of rope is 420 feet.

Step-by-step explanation:

Kingston flew 300 feet above the water.

Perpendicular = 300 feet

The boat driver informed him the angle of elevation from the boat to that height is typically 45.5 degrees

We are supposed tho find the length of the rope i.e. Hypotenuse

Sin \theta =\frac{Perpendicular}{Hypotenuse}\\Sin 45.5^{\circ} = \frac{300}{Hypotenuse}\\Hypotenuse = \frac{300}{Sin 45.5^{\circ}}\\Hypotenuse = \frac{300}{0.7132}\\Hypotenuse = 420.63

So,The length of rope is 420 feet.

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