A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1.4 ft/s, how fast (in rad/s) is the angle (in radians) between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall? (That is, find the angle's rate of change when the bottom of the ladder is 8 ft from the wall.)

Q: A fish is reeled in at a rate of 4.4 feet per second from a point 10 feet above the water. At what…

A:

Q: (c) Find the rate at which the angle between the ladder and thewall of the house is changing when…

A: Let θ = angle between top of ladder and wall   Let x = distance from base of ladder to wall   Base…

Q: ect one: a. 1 rad/s b. 4 rad/s. 1 C. -rad/s 12 d. 1 =rad/s ܩ 0 30 ft

A: Topic:- application of derivatives

Q: . Betty and Bob take off in an airplane and travel at an angle of 45 degrees to the ground as per…

A: Let dh/dt represent the rate at which altitude is increasing:

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.