Mathematics: A guywire is attached to a telephone pole. The pole is 30 feet tall. The wire is attached to the ground 20 feet from the base of the pole. How long does the guywire need to be

Step-by-step explanation:In circle with center O, By inscribed angle theorem:...

A guywire is attached to a telephone pole. The

Ответ:

jojokeys

29.11.2021

Mathematics

$(180 - 2x)\degree$

Step-by-step explanation:

In circle with center O, $m\angle BCD = x\degree ... (given) \\$

By inscribed angle theorem:

$m\angle BCD= \frac{1}{2} \times m\widehat {BD} \\\therefore x\degree = \frac{1}{2} \times m\widehat {BD} \\\therefore \widehat {BD} = 2x\degree \\\because m\widehat {BCD}+m\widehat {BD}= 360\degree \\(By\: arc\: sum\: postulate\: of\: a \: circle) \\\therefore m\widehat {BCD}+2x\degree = 360\degree \\\therefore m\widehat {BCD} = 360\degree - 2x\degree \\\\\because m\angle BAD = \frac{1}{2}(m\widehat {BCD} - m\widehat {BD}) \\\\\therefore m\angle BAD = \frac{1}{2}(360\degree - 2x\degree - 2x\degree) \\\\\therefore m\angle BAD = \frac{1}{2}(360\degree - 4x\degree ) \\\\\therefore m\angle BAD = \frac{1}{2}\times 2(180\degree - 2x\degree \\\\ \red {\boxed {\bold {\therefore m\angle BAD =(180- 2x)\degree}}} \\\\$

0,0(0 оценок)

A guywire is attached to a telephone pole. The pole is 30 feet tall. The wire is attached to the ground 20 feet from the base of the pole. How long does the guywire need to be

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question