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inn [45]
3 years ago
10

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.

Mathematics
1 answer:
quester [9]3 years ago
3 0
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.

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16x 2 + 8x - 15 Mathematics?
Gala2k [10]
If you're factoring, your answer is

(4x - 3)(4x + 5)

You'll work it out this way:

16x^2 + 8x - 15

Since there's no GCF here, you multiply the first and third terms, giving you -240. Your next step is to find two numbers that have a sum of 8 and a product of -240. These numbers are 20 and -12. Plug those in and you've got:

16x^2 + 20x - 12x - 15

From here you divide it into two binomials. These are (16x^2 + 20x) and (-12x - 15).
When you take out the greatest common factors (4x and -3), they become:

4x(4x + 5) - 3(4x + 5)

Then you group what's outside of the parentheses together (4x - 3)
And bring what's inside of the parentheses down (4x + 5).
This brings your answer to

(4x - 3)(4x + 5)
5 0
3 years ago
Explain<br>Find all the values of x for which the statement is true, |x^2+9|=x^2+9​
Tju [1.3M]
The 2 statements are identical even if one has absolute value
6 0
3 years ago
Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph, if they
Kruka [31]

Given :

Peter velocity , P = 30 mph .

Mitchell velocity , M = 40 mph .

Mitchell leaves 15 min later .

To Find :

If they drive along the same route how long will it take Mitchell to catch Peter.

Solution :

Distance covered by Peter in 15 min .

D = 30\times \dfrac{15}{60}=7.5\ miles

Let , time taken is x .

So , distance covered b them is equal :

7.5+30\times x=40\times x\\\\x=\dfrac{7.5}{10}=0.75\ hours\\\\x=0.75\times 60\ min\\\\x=45\ min

Therefore , time taken by them is 45 minutes .

Hence , this is the required solution .

4 0
3 years ago
If an outfit consists of one shirt, one pair of jeans, and one pair of shoes, how many outfits can be made from five pairs of je
alexandr402 [8]

Answer:

2

Step-by-step explanation:

One outfit consists of one shirt, one pair of shoes, and one pair of jeans. In this problem, there are five jeans, six shirts, but only two pairs of shoes, which only makes two complete outfits.

6 0
2 years ago
Solve: $|2x - 1| = |3x + 5|$. write your answers as a list of numbers, separated by commas,
emmainna [20.7K]
First, disregard the sign for absolute value and solve for x. 

2x - 1 = 3x + 5
2x - 3x = 5 + 1
-x = 6
x = -6

Now, you have to interpret the absolute value. The absolute value of x is always the positive version of whatever the number is. Since x = -6, its absolute value is 6. Therefore, the possible value for x is only one, which is 6.
8 0
3 years ago
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