A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor point is 51 feet less than the height of the pole. If the wire is to be 24 feet longer than the height of the pole, what is the height of the pole?

Height is 135 ft

Step-by-step explanation:

Notice that wire, pole, and ground form a right angle triangle, for which we name h = height of the pole one of the legs (the horizontal leg) is h - 51. The wire (which is the hypotenuse of the right angle triangle is: h + 24.

Then we can use the Pythagorean theorem to solve for the height (h):

h^2 + (h - 51)^2 = (h + 24)^2

h^2 + h^2 -102 h + 2601 = h^2 + 48 h + 576

grouping all terms on the left of the equal sign, we get:

h^2 -150 h + 2025 = 0

This gives two possible answers:

h = 135

and

h = 15

We opt for h = 135, because the other solution will render a negative leg for the triangle.

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.

answer is 144

step-by-step explanation: