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2 years ago

Does anyone knows this pleaseee

Mathematics

1 answer:

murzikaleks [220]2 years ago

4 0

Answer:

Step-by-step explanation:

use SOH CAH TOA to remember how sin , cos and tan fit with a triangle

lets use SOH since we have the Hypotenuse and we want to find the Opposite side from the angle.. of 38° then

sin(38) = Opp/ 15

15 sin(38 ) = Opp ( the opposite side is the height of the pole )

4.4455m = Opp

so the flag pole is 4.45 meters tall or close to that

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Answer:

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Step-by-step explanation:

From the question we are told that

The weight of the bucket is $F = 5 lb$

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The weight of the water is $W_w = 42 lb$

The rate at which the bucket with water is pulled is $v = 1.5 \ ft/s$

The rate of the leak is $r = 0.15 lb/s$

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$W = \int\limits^{x_1}_{x_o} {G(x)} \, dx$ ]

Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as

$G(x) = F + (W_w- Ix)$

Here I is the rate of water loss in lb/ft mathematically represented as

$I = \frac{r}{v}$

=> $I = \frac{0.15 }{1.5 }$

=> $I = 0.1$

$G(x) = 5 + (42- 0.1x)$

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$W = \int\limits^{60}_{0} {47- 0.1x} \, dx$ ]

=> $W = [47x - \frac{0.1x^2}{2} ]|\left 60} \atop {0}} \right.$

=> $W= [47(60) - 0.05(60)^2]$

=> $W= 2640 \ ft \cdot lb$

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