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elena-s [515]
3 years ago
12

Please help me

Mathematics
1 answer:
love history [14]3 years ago
6 0
6\frac{1}{2}\ mi\ in\ 2\ hour\\\\
16\frac{1}{4} mi\ in\ x\ hour\\\\
proportion:\\
6\frac{1}{2}-2\\
16\frac{1}{4}-x\\\\
cross\ multiplication\\\\
6\frac{1}{2}x=2*16\frac{1}{4}\\\\
5.5x=32.5\ \ \ | divide\ by\ 5.5\\\\
x=5.9hour\\\\
It\ will\ take\ 5.9\ hours
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What number cubed equals -1331?

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To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to th
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the height of the house is 408ft .

<u>Step-by-step explanation:</u>

Here we have , To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to the top of the house was 32 degrees. Katie then moved 200 feet closer to the house along a level street and determined the angle of elevation was 42 degrees. We need to find  What is the height of the house . Let's find out:

Let  y is the unknown height of the house, and x is the unknown number of feet she is standing from the house.

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Now , According to question these scenarios are of right angle triangle as

At point A

⇒ Tan32 =\frac{Perpendicular}{Base}= \frac{y}{x}

⇒ Tan32 = \frac{y}{x}

⇒ y=x(Tan32 )       ..................(1)

Also , At point B

⇒ Tan42 = \frac{y}{x-200}

⇒ y=(x-200)(Tan42)     ..............(2)

Equating both equations:

⇒ (x-200)(Tan42) = x(Tan32)

⇒ x(Tan42-Tan32)=Tan42(200)

⇒ x=\frac{Tan42(200)}{(Tan42-Tan32)}

⇒ x=653ft

Putting  x=653ft in  y=x(Tan32 )  we get:

⇒  y=x(Tan32 )    

⇒  y=653(Tan32 )

⇒  y=408ft

Therefore , the height of the house is 408ft .

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Answer:

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Step-by-step explanation:


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