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nlexa [21]
3 years ago
5

A 50 ft kite string is flying on the beach above an umbrella. You are holding the end

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0

Answer:

The height of the kite is 48.54 feet

The angle of elevation is 76.11°

Step-by-step explanation:

To find the height of the kite, we can use the Pythagoras' theorem in the triangle created by the length of the string (hypotenuse), the height of the kite and the distance to the umbrella (catheti).

Then, we have:

50^2 = 12^2 + height^2

height^2 = 2500 - 144

height^2 = 2356

height = 48.54 ft

So the kite is 48.54 feet high in the air.

The angle of elevation can be calculated using the cosine relation:

cos(angle) = 12 / 50

cos(angle) = 0.24

angle = 76.11°

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kari74 [83]

The question is incomplete. The complete question is :

A bulb can either be on or off. A board contains 20 bulbs connected to a randomization circuit that lights up a random sequence every time it is turned on. What is the probability that all the lights will switch on ?

Solution :

It is given that :

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Therefore, the probability of all the lights to be switched ON is given by :

$=\left(\frac{1}{2}\right)^{20}$

$=\frac{(1)^{20}}{(2)^{20}}$

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4 years ago
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Answer:

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Step-by-step explanation:

In a ΔPQR, ∠Q = 90 , PQ = 5 cm, QR = 12cm. If QS is the altitude then QS is equal to?

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