A 10​-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 6 ft from the​ house, the base is moving away at the rate of 24 ​ft/sec. a. What is the rate of change of the height of the top of the​ ladder? b. At what rate is the area of the triangle formed by the​ ladder, wall, and ground changing​then? c. At what rate is the angle between the ladder and the ground changing​ then?

Q: 3. In which quadrants are the tangent ratios negative values? a. first and second b. second and…

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Q: A pole stands 75 feet tall. An angle is formed when wires of various lengths of aF feet are attached…

A: Given that length of a pole is 75 ft.  find the rate of change of the angle dθdx  at x=199ft

Q: A ball is thrown at an downward angle of 36.3 deg. from the horizontal at 43.4 m/s from a height of…

A: Explanation: Given that,  h = 36.9 m Downward angle: θ=36.3° vo=43.4 m/s   Concept Used: Horizontal…

Q: Find the unit rate of the statement given In the first column and match them with their approprlate…

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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.