The base of an isosceles triangle is 24 inches and one of the base angles is 53o. Find to the nearest inch the altitude drawn to the base. Hint: Draw the right triangle as it is described on the problem. 1. Describe your reasoning and the steps you will take into finding the answer to the problem. 2. Find the answer to the problem.

16 Inches

Step-by-step explanation:

An Isosceles Triangle has two equal sides. A line drawn from the altitude to the base (where the base is the third unequal side) divides the base into two equal parts.

Therefore, the right triangle formed by this problem is a right triangle with a base of 12 inches. We are required to calculate the height, h of the right triangle.

(b)Using Trigonometric ratios

probability for j is 1/4

while

a is 1/6

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1