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Inessa05 [86]
3 years ago
10

A boy flying a kite is standing 30 ft from a point directly under the kite. If the string to the kite is 50 ft long, what is the

angle of elevation of the kite (the angle between the ground where the boy is standing and the kite string?
Mathematics
2 answers:
masha68 [24]3 years ago
5 0

Answer:

250

Step-by-step explanation:

because if he's directly under it that means it's a straight line

jasenka [17]3 years ago
3 0

Answer: the angle of elevation of the kite is 53.13°

Step-by-step explanation:

The string of the kite, the vertical distance from a point to where the boy is standing and his angle of elevation forms a right angle triangle.

The string of the kite represents the hypotenuse of the right angle triangle.

The distance of the boy from a point directly under the kite represents the adjacent side of the right angle triangle. To determine the angle of elevation, θ, we would apply the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos θ = 30/50 = 0.6

θ = Cos^-1(0.6)

θ = 53.13°

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9. A contestant on a game show must guess the price of a new car. The contestant will
iren [92.7K]

Given :

A contestant on a game show must guess the price of a new car. The contestant will  win if his guess is within $1000 of the price of the car.

To Find :

If the price of the car is  $24,995 and the contestant's guess is represented by g, what absolute value  inequality represents this situation.

Solution :

Let, range in which participant guess would be considered correct is r.

So, r should be in range $( 24,995 ± 1000 ).

( 24,995 - 1000 ) ≤ r ≤ ( 24,995 + 1000 )

23,995 ≤ r ≤ 25,995

Therefore, the correct inequality is 23,995 ≤ r ≤ 25,995 .

Hence, this is the required solution.

4 0
3 years ago
Suppose customers in a hardware store are willing to buy​ N(p) boxes of nails at p dollars per​ box, as given by the following f
AleksAgata [21]

Answer:

a) -15 unites per dollar

b) -12 units per dollar

c) -18 units per dollar

Step-by-step explanation:

We are given the following in the question:

N(p) = 100-3p^2, 1\leq p \leq 4

where N(p) is the number of boxes of nails at p dollars per​ box.

a) average rate of change of demand for a change in price from ​$2 to ​$3.

Average rate of change =

\displaystyle\frac{N(3) -N(2)}{3-2}\\\\=\frac{100-3(3)^2-(100 - 3(2)^2)}{1}\\\\= -15\text{ units per dollar}

b) instantaneous rate of change of demand when the price is ​$2

Instantaneous rate =

N'(p) = \displaystyle\frac{d(N(p))}{dp} = -6p

N'(2) = -6(2) = -12

The instantaneous rate of change of demand when the price is ​$2 is decreasing at 12 units per dollar.

c) instantaneous rate of change of demand when the price is ​$3

Instantaneous rate =

N'(3) = -6(8) = -18

The instantaneous rate of change of demand when the price is ​$3 is decreasing at 18 units per dollar.

4 0
2 years ago
What is 34-34<br><br> (A) 0<br><br> (B) 90<br><br> (C) 7<br><br> (D) 12
MissTica

Answer:

0

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
12. Thomas walks his dog for 30 minutes today—15 more minutes than yesterday. Express as a
sasho [114]
Yesterday = 30 -15
yesterday = 15 minutes

Find the percentage
percentage = 30/15 × 100%
percentage = 2 × 100%
percentage = 200%
5 0
3 years ago
Need help ASAP please!
zmey [24]

Answer:

(mark me brainliest) q=5

Step-by-step explanation:

q would be = 5

and so would the height = 5

here is the rule for 45-90-45

hypotenuse is basically the other two lengths with \sqrt{2}

so that is why q would be 5

7 0
3 years ago
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