a boy flies a kite with 100 foot long string. the angle of elevation of the string is 48. how high is the kite from the ground.
1 answer:
With this, we should remember SOHCAHTOA (Sine: Opposite over Hypotenuse, Cosine: Adjacent over Hypotenuse, and Tangent: Opposite over Adjacent).
Using the image attached, we know that we should use Sine, because we know the hypotenuse (100 feet) and we want to know the height, or the Opposite (h).
So, we use: sin(48)=h/100 and we multiply both sides by 100 to get:
100sin(48)=h
Now, we just plug the numbers into a calculator. (Make sure your calculator is set to Degrees, or "Deg").
What we get is about 74.3144825... but we can round that to 74.3 feet.
Answer: 74.3 feet.
Using the image attached, we know that we should use Sine, because we know the hypotenuse (100 feet) and we want to know the height, or the Opposite (h).
So, we use: sin(48)=h/100 and we multiply both sides by 100 to get:
100sin(48)=h
Now, we just plug the numbers into a calculator. (Make sure your calculator is set to Degrees, or "Deg").
What we get is about 74.3144825... but we can round that to 74.3 feet.
Answer: 74.3 feet.
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y varies directly with x.
The constant of variation is k = 7
Step-by-step explanation:
We have to check whether both vary directly with each other or not.
Every pair of x and y will be considered one by one
If y varies directly with x, it should satisfy y = kx or k = yx
So,
For x= -2, y=-14
For
x=3, y=21
For
x=5, y=35
As k is same for all pairs of x and y, it can be concluded that:
y varies directly with x.
The constant of variation is k = 7
Keywords: Proportion, variation
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