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3 years ago

A building lot in a city is shaped as a 30°-60°-90° triangle, like the figure shown.

Mathematics

2 answers:

Julli [10]3 years ago

4 0

Check the picture below.

In-s [12.5K]3 years ago

4 0

A) You can find the length of the side of the lot opposite the 60° angle <span> (which we will call "x") as below:
</span>
Tan(α)=Opposite/Adjacent

α=60°
Opposite=41 feet
Adjacent=x

When you substitute these values into Tan(α)=Opposite/Adjacent, you obtain:

Tan(60°)=x/41
(41)Tan(60°)=x
x=41√3
x=71.01 feet

B) Now, you can <span>find the length of the hypotenuse:
</span>
Cos(α)=Adjacent/Hypotenuse

α=60°
Adjacent=41 feet
Hypotenuse=y

When you substitute these values into Cos(α)=Adjacent/Hypotenuse, you obtain:

Cos(60°)=41/y
yCos(60°)=41
y=41/Cos(60°)
y=82 feet

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Answer:

Step-by-step explanation:

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2 years ago

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Mariana [72]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

A football is kicked from the ground so that its height n (in feet) t seconds after being kicked is given by h(t) = –16+48t.

damaskus [11]

Answer:

h(t) = –16+48t

h(32)=-16+48(32)

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Step-by-step explanation:

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3 years ago

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leva [86]

2/3+(-1/3)
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1/3

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4 years ago

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ludmilkaskok [199]

Answer:

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Step-by-step explanation:

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