A 13 ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 5 ft from the wall and sliding away from the wall at the rate of 7 ft/sec? Hint: Refer to the accompanying figure. By the Pythagorean Theorem, x2 + y2 = 169. Find dy dt when x = 5 and dx dt = 7. (Round your answer to two decimal place
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
A 13 ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 5 ft from the wall and sliding away from the wall at the rate of 7 ft/sec? Hint: Refer to the accompanying figure. By the Pythagorean Theorem,
Find
| dy |
| dt |
when
and
| dx |
| dt |
(Round your answer to two decimal places.)
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