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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Answer:
-----×1/72
Step-by-step explanation:
The <em>order of operations</em> says do these operations in order left to right. Please note that ÷ means the same as / unless you define it otherwise in your problem statement.
If you intend the ÷ symbol to be used to indicate everything to its left is divided by everything to its right, it is appropriate to use parentheses for that grouping, as in ...
(-----×1/4)÷(6×3/9) = (-----×1/4)÷2 = -----×1/8
_____
Here, we're going to evaluate what you have written according to the usual rules as described above.
(-----×1/4)÷6×3/9 = -----×1/24×3/9 = -----×(3/24)/9
= -----×1/8/9
= -----×1/72
_____
<em>Comment on the arithmetic</em>
Fractions are multiplied and divided in the usual way:
a/b×c = (a×c)/b
a/b/c = (a/b) × (1/c) = a/(b×c)
___
<em>Comment on fractions and parentheses</em>
Please note that parentheses are required on any numerator or denominator that consists of anything other than a single number or variable. (The exception is the case where the numerator is a product, because a·b/c = (a·b)/c with or without the parentheses.)
