Autility worker is installing a 25-foot pole ab at the foot of a hill. two guy wires, ac and ad, will keep the pole vertical. a. to the nearest inch, how long should ac be? b. ad is perpendicular to the hill, which makes an angle of 28 with a horizontal line. to the nearest inch, how long should this guy wire be?

Step-by-step explanation:

Since, AB is the vertical pole, then the guy wires AC and AD will be inclined at equal angles to keep the pole stand vertical. therefore, ∠CAB=∠BAD.

From ΔABD, we have

∠ABD+∠BAD+∠ADB=180° (Angle sum property)

⇒62°+∠BAD+90°=180°

⇒∠BAD=180-152

⇒∠BAD=28°

Thus, using trigonometry in ΔABD,

⇒

⇒

Now, ∠CAB=∠BAD=28°

From ΔCAB, we have

⇒

⇒

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.