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: A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: .

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A:

Q: A small rocket is launched straight up in the air at a speed of 4ft/sec. A camera on the ground, 10…

A: Consider the given information. At any time t, rocket is at C tanθ=ACAB=AC10

Q: At a given instant the legs of a right triangle are 16 cm and 12 cm, respectively. The first leg…

A: Given: -The legs of a right triangle are 16cm and 12cm, respectively. The first leg decreases at…

Q: A car is initially traveling at 50.0 km/h. The brakes are applied and the car stops over a distance…

A: Topic:-

Q: A winch is on top of a pole that is 25 ft high and it is using a rope to pull object A. The rope is…

A: Let the distance of the object from the wall is x. the length of the rope is L and the length of the…

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.