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AnnZ [28]
3 years ago
8

A radio transmission tower is 190 feet tall. How long should a guy wire be if it is to be attached 13 feet from the top and is t

o make an angle of 31 with the ground? Give your answer to the nearest tenth of a foot.
Mathematics
1 answer:
gladu [14]3 years ago
5 0

Answer:

343.7 ft

Step-by-step explanation:

The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.

The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...

Sin(angle) = Opposite/Hypotenuse

Filling in the given information, you have ...

sin(31°) = (177 ft)/hypotenuse

Solving for hypotenuse gives

hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft

The length of the guy wire should be 343.7 ft.

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Help me with this... ​
marin [14]

i. 171

ii. 162

iii. 297

Solution,

n(U)= 630

n(I)= 333

n(T)= 168

i. Let n(I intersection T ) be X

333 - x + x + 468 - x = 630 \\ or \: 333 + 468 - x = 630 \\ or \: 801 - x = 630 \\ or \:  - x = 630 - 801 \\ or \:  - x =  - 171 \\ x = 171

<h3>ii.n(only I)= n(I) - n(I intersection T)</h3><h3> = 333 - 171</h3><h3> = 162</h3>

<h3>iii. n ( only T)= n( T) - n( I intersection T)</h3><h3> = 468 - 171</h3><h3> = 297</h3>

<h3>Venn- diagram is shown in the attached picture.</h3>

Hope this helps...

Good luck on your assignment...

4 0
3 years ago
If AB = 4 centimeters, which is closest to BC?
Misha Larkins [42]

Answer:

The correct answer AC = 11.52

Step-by-step explanation:

From the figure attached with this answer shows the triangle ABC.

BC=4 centimeters, m angle B=m angle c, and m angle a = 20 degrees

To find AC

From the figure we can see that D is the mid point and AD⊥BC

Then BD = CD = 4/2 = 2 cm

<BAD = 10° and <CAD = 10°

By using trigonometric ratio,

sin 10 = CD/AC = 2/AC

AC = 2/sin 10 = 2/0.1736 = 11.52

Therefore the value of AC = 11.52 cm

4 0
3 years ago
Read 2 more answers
Mick dropped 2 pennies and he had 7 how many does he have left
sesenic [268]

Answer:

5

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
There are 10 mangoes inside the basket. Each mango weighs 50grams.Approximately, what is the weight the basket if the basket wit
deff fn [24]

Answer:

100 grams.

Step-by-step explanation:

600-(10*50). You're subtracting the weight of 10 mangoes (50 grams for each mango) from 600 grams, which will give you the weight of the basket.

4 0
3 years ago
What is the slope of the line described by the equation –4x + 6y = 12?
tino4ka555 [31]
The slope of the equation is 4
6 0
3 years ago
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