A telephone pole has a wire to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor point is 49 feet less than the height of the pole. If the wire is to be 14 feet longer than the height of the pole, what is the height of the pole?

The height of the pole is 105ft,

Step-by-step explanation:

Let us call the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is .

The wire length is 14 ft longer than height , hence

.

Thus we get a right triangle with hypotenuse , perpendicular  , and base ; therefore, the Pythagorean theorem gives

which upon expanding we get:

further simplification gives

,

which is a quadratic equation with solutions

Since the first solution will give the triangle base length of which is negative; therefore, we disregard it and pick the solution .

Hence, the height of the pole is 105ft.

answer: the 4 kilogram bag

step-by-step explanation: this is because if you divide the number of kilograms into the total it will tell you how much each individual kilogram would be worth. 2 kilos is 7 and change 3 would be around 6 ish and the 4 kilo would be 4.6 and change and the 5 kilos would be like 4.88

answer: i'm not going to give you the answer, but some hints to work it out.

step-by-step explanation: so, if there is a straight line that means that the line angle is 180°. so we subtract the 2 angle measures provided, (15 and 38) from 180. so the answer is 180 - (38 + 15). (you have to solve the equation)