A ladder 17 feet long is leaning against a wall. The bottom of the ladder is 8 feet from the base of the wall. How far up the wa
ll is the top of the ladder?
1 answer:
Answer: the top of the ladder is 15 feet up the wall
Step-by-step explanation:
The attached photo shows the triangle ABC formed by the ladder and the wall. It is a right angle triangle because one of its angles is 90 degrees. The ladder is the hypotenuse of the triangle. To determine how far up the wall that the top of the ladder is,we would find BC by applying Pythagoras theorem
Hypotenuse^2 = opposite ^2 + adjacent^2
17^2 + 8^2 + BC^2
BC^2 = 289 - 64 = 225
BC = √225 = 15
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The equation of the line that contains (−6, 19) and (−15, 28), in standard form, is: x + y = 13
<em><u>Recall:</u></em>
- Equation of a line can be written in standard from as Ax + By = C, where Ax and By are all terms of variable x and y, and C is a constant.
- The equation of a line in point-slope,
, can be rewritten in the standard form.
- Slope (m) =
Given: (−6, 19) and (−15, 28)
<em>Find the </em><em>slope </em><em>(m):</em>
<em />
Write the equation in point-slope form by substituting m = -1 and into
.
- Rewrite in standard form
Therefore, the equation of the line that contains (−6, 19) and (−15, 28), in standard form, is: x + y = 13
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