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Natalka [10]
2 years ago
14

From where Kiana is standing, she must look up at a 50° angle to see the top of a building. If she backs up 50 feet, she will ne

ed to look up at a 40° angle to see the top of the same building. Approximately how tall is the building?

Mathematics
2 answers:
Morgarella [4.7K]2 years ago
5 0
For this case, what we must do is solve the following system of equations:
 tan (50) = h / x
 tan (40) = h / (x + 50)
 Solving the system we have:
 (x + 50) * tan (40) = h
 (x) * tan (50) = h
 Matching:
 (x + 50) * tan (40) = (x) * tan (50)
 Rewriting:
 x (tan (50) - tan (40)) = 50 * tan (40)
 x = 50 * tan (40) / (tan (50) - tan (40))
 x = 118.9692621
 Substituting:
 h = (x) * tan (50)
 h = (118.9692621) * tan (50)
 h = 141.7820455
 Answer:
 
The height of the building is:
 
h = 141.7820455 ft
Vikentia [17]2 years ago
5 0

Answer:

B. 141.8ft

Step-by-step explanation:

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7 0
3 years ago
A show uses 12 gallons of water in three minutes complete the table and the graph.
gregori [183]

Answer:

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Step-by-step explanation:

12 divided by 3 equals 4 so just multiply 4 by each minute

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eegstecation

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Step-by-step explanation:

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2 years ago
what is the volume of a box with the height of 3/2 inches and a length of 7/2 inches and a width of 5/2 inches
nadezda [96]

Answer:

13.125 in³

Step-by-step explanation:

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8 0
2 years ago
Question 1: The water level in a tank can be modeled by the function h(t)=4cos(+)+10, where t is the number of hours
Amanda [17]

Answer:

Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours

Question 2: Sin of the angle is -0.8

Step-by-step explanation:

Question 1: Here we have h(t) = 4·cos(t) + 10

The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;

\frac{\mathrm{d}  h(t)}{\mathrm{d} t} = \frac{\mathrm{d} \left (4cos(t) + 10  \right )}{\mathrm{d} t} = 0

\frac{\mathrm{d}  h(t)}{\mathrm{d} t} = - 4 \times sin(t) = 0

∴ sin(t) = 0

t = 0, π, 2π

Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.

Question 2:

B = (3, -4)

Equation of circle = x² + y² = 25

Here we have

Distance moved along x coordinate = 3

Distance moved along y coordinate = -4

Therefore, we have;

Tan \theta = \frac{Distance \ moved \ along \ y \ coordinate}{Distance \ moved \ along \ x \ coordinate} = \frac{-4}{3}

\therefore \theta = Tan^{-1}(\frac{-4}{3}) = -53.13^{\circ}

Sinθ = sin(-53.13) = -0.799≈ -0.8.

5 0
2 years ago
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