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sveticcg [70]
3 years ago
11

The length of the guy why supporting a cell tower is 120 m the guy wire is anchored to the ground at a distance of 80 m from the

base of the tower to the nearest hundredth of a meter how tall is the tower?
Mathematics
1 answer:
Katarina [22]3 years ago
6 0

Complete Question

The length of the guy wire supporting a cell tower is 120 m. The guy wire is anchored to the ground at a distance of 80 m from the base of the tower to the nearest hundredth of a meter how tall is the tower?

Answer:

89.44m

Step-by-step explanation:

We solve this question using the Pythagoras Theorem

This is given as:

Hypotenuse² = Opposite ² + Adjacent ²

Hypotenuse = Length of the guy wire = 120m

Adjacent = Distance from the base of the tower = 80m

Opposite = Height of the building = x

Hence:

120² = x² + 80²

Collect like terms

x² = 120² - 80²

x = √120² - 80²

x = √(8000)

x = 89.4427191 m

Approximately the height of the tower is = 89.44m

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The distance the ships traveled are like the legs of a triangle and the question wants to know the hypotenuse. To find the hypotenuse, use the pythagorean theorem. this is a^2 + b^2 = c^2, with a and b being the legs and c being the <span>hypotenuse.
</span>Plug in known values:
84^2 + 62^2 = c^2
Solve:
84^2 = 7056
62^2 = 3844
7056 + 3844 = c^2
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10900 = c^2
Now you just need to isolate c by finding the square root of both sides.
√10900 = 104.403
√c^2 = c

So c = 104.403, or just 104.40 when rounded to the nearest tenth.
And if c is 104.40, then that means the hypotenuse is 104.40.
And all of that basically means that the distance between the ships is 104.40 miles.
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2 years ago
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Hope you all have a great day!
ArbitrLikvidat [17]

u tooooooo!!

ʕ•ᴥ•ʔ

ʕ⁀㉨⁀ʔ

(๏㉨๏)

ʕ≧ᴥ≦ʔ

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