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Luda [366]
3 years ago
8

Miguel is flying a kite, holding his hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. H

e measures the angle of elevation from his hand to the kite to be 25^{\circ} ∘ . If the string from the kite to his hand is 150 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
Mathematics
1 answer:
Ivahew [28]3 years ago
3 0

Answer:

66.9 ft

Step-by-step explanation:

Kite string forms a right triangle with the horizontal 3.5 feet off of the ground

sin 25  = opp / hyp  = height / 150

sin 25 = height / 150

150 sin25 = height      but it is 3.5 feet off of the ground...add that in

3.5  + 150 sin25 = true height = ~ 66.9 ft

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abruzzese [7]

Answer:

I don't know if im right but t

o clarify, the m is sometimes used to distinguish between the measure of the angle (m∠ABC = a number, in degrees/radians) and the actual angle itself (the geometric object ∠ABC).

Step-by-step explanation:

4 0
3 years ago
Quadrilateral ABCD is similiar to quadrilateral EFGH The lengths of the three longest sides in quadrilateral ABCD are 24 feet, 1
Liula [17]
Quadrilateral has four sides. Not necessarily a rectangle, just four sides.

They are similar, so the sides of one of them and the other one are in proportion.

We have to find the proportion. Notice that the 12 feet side and the 18 feet side must be the one in common. 3 longest ones ... one is missing, then, two shortest ones ... two are missing, but they must share that one:

The ratio is the 18:12 or 3:2.

Now we can complete both quadrilaterals:

ABCD: 24, 16, 12,  ?
EFGH:  ?,   ?,  18,  9

ABCD: 24, 16, 12, 6
EFGH: 36, 24, 18, 9

24 is the answer!!
8 0
4 years ago
Some number is added to itself the result is multiplied by eight is four what is that number​
mel-nik [20]

Answer:

X=1/4

Step-by-step explanation:

(x+x)*8=4

(2x)*8=4

16x=4

X=4/16=1/4

7 0
4 years ago
Read 2 more answers
What is the decibel level of the radio with intensity 10−7 watts per square inch? Use a logarithmic model to solve.
BaLLatris [955]

Answer:

D = 50

Step-by-step explanation:

Given

I = 10^{-7}W/m^2 --- Intensity

Required

Determine the decibel level (D)

This is calculated as:

D = 10 * log(\frac{I}{I_n})

Where:

I_n = The threshold intensity

I_n =1 * 10^{-12}W/m^2

So, we have:

D = 10 * log(\frac{I}{I_n})

This gives:

D = 10 * log(\frac{10^{-7}W/m^2}{1 * 10^{-12}W/m^2})

D = 10 * log(\frac{10^{-7}}{10^{-12}})

Apply law of indices

D = 10 * log(10^{-7--12})

D = 10 * log(10^{5})

Apply law of logarithm

loga^b = b\ log(a)

So, we have:

D = 10 * 5 * log(10)

log(10)  =1

So:

D = 10 * 5 *1

D = 50

<em>Hence, the decibel level is 50</em>

7 0
3 years ago
The ratio of the number of boys to girls is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?
sergiy2304 [10]

Answer:

48

Step-by-step explanation:

5      60

--  =  ----

4      x

5x= 240

---    ------

5       5

x=48

7 0
3 years ago
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