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r-ruslan [8.4K]
3 years ago
10

The depth of a lake, dd, varies directly with rr, the amount of rainfall last month. if kk is the constant of variation, which e

quation represents the situation?
Mathematics
1 answer:
Murrr4er [49]3 years ago
4 0
Given that the depth varies directly with amount of rainfall, then we shall have:
let d be the depth and r be the rainfall amount
dαr
thus
d=kr
where, k is the constant of proportionality, thus the formula will be:
d=kr
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2 years ago
From a point A that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle
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Answer:

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

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Now, 1 degree = 60 minutes,

⇒ 1\text{ minute } =\frac{1}{60}\text{ degree }

20\text{ minutes }=\frac{20}{60}=\frac{1}{3}\text{ degree}

50\text{ minutes }=\frac{50}{60}=\frac{5}{6}\text{ degree}

By the below diagram,

tan ( 12^{\circ} 50') = \frac{8.20}{y}

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tan (\frac{77}{6})^{\circ}=\frac{8.20}{y}

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tan(31+\frac{1}{3})=\frac{x}{y}

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Hence, the height of the building = x + 8.20 = 30.11 meters (approx)

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