Elo is skiing on a mountain at an altitude of 1,200 feet. The angle between the mountain and the land is 30 degrees. How far did Elo cover when he skis down the mountain?
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Elo is skiing on a mountain at an altitude of 1,200 feet. The angle between the mountain and the land is 30 degrees. How
Answer:
So, Elo covers 2400 feet when skiing down the mountain.
Step-by-step explanation:
To solve this problem, we need to use trigonometry. We can use the sine function to find the length of the side opposite the 30-degree angle, which is the distance Elo covers when skiing down the mountain.
sin(30) = opposite / hypotenuse
We know that the altitude of the mountain is the opposite side and the distance Elo covers is the hypotenuse. Therefore, we can rewrite the equation as:
sin(30) = 1200 / hypotenuse
To solve for hypotenuse, we can multiply both sides by hypotenuse and divide by sin(30):
hypotenuse = 1200 / sin(30)
Using a calculator, we can find that sin(30) is 0.5. Therefore:
hypotenuse = 1200 / 0.5
hypotenuse = 2400 feet
hope it helps you
Verified answer
Step-by-step explanation:
Using trigonometry, we know that:
sin(30) = opposite/hypotenuse
where "opposite" is the altitude of the mountain and "hypotenuse" is the distance Elo travels.
Rearranging the equation, we get:
hypotenuse = opposite/sin(30)
Plugging in the values, we get:
hypotenuse = 1200/sin(30)
hypotenuse = 2400 feet
Therefore, Elo covers a distance of 2400 feet when skiing down the mountain.