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carog24
16.11.2019 •
Mathematics
The height of a radio tower is 650 feet, and the ground on one side of the tower slopes upward at an angle of 10°.
(a) how long should a guy wire be if it is to connect to the top of the tower and be secured at a point on the sloped side 180 feet from the base of the tower?
(b) how long should a second guy wire be if it is to connect to the middle of the tower and be secured at a point 180 feet from the base on the flat side?
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Ответ:
Answer with Step-by-step explanation:
We are given that
Height of radio tower =650 ft
From figure
AB=650 ft
BC=180 ft
We have to find the AC.
Using cosine law:
Hence, a guy required 643.64 ft wire when it is to connect to the tower and be secured at a point on the sloped side 180 ft from the base of the tower.
b.In a right triangle ABC, AB=![\frac{650}{2}=325 ft](/tpl/images/0376/6933/4d6c5.png)
Pythagorous theorem :![(Hypotensuse)^2=(perpendicular\;side)^2+(base)^2](/tpl/images/0376/6933/70bee.png)
Substitute the values
Hence, the length of wire should be 371.52 ft when a second guy connect the middle of the tower and be secured at a point 180 ft from the base on the flat side by wire.
Ответ:
6x-4
Step-by-step explanation: The number 6 is multiplied by another variable so it would be written as 6x and then 4 is less than whatever 6x is so it would be 6x-4.