A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 8 ft from the house, the base is moving away at the rate of 18 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? 10-ft ladder y(t) x(t)

Q: A car is traveling at 88 ft /s when the brakes are fully applied, producing a constant deceleration…

A: Solve for the distance

Q: A helicopter takes o from a point 80 m away from an observerlocated on the ground, and rises…

A: Thus when the helicopter is 60 m above the ground the elevation angle of theobserver’s line of sight…

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

A: .

Q: An jet is flying on a bearing of 38° at 420 miles per hour. Find the component form of the velocity…

A: Velocity = 420 miles/hr. Angle = 38°

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

A:

Q: 1. A ladder 13 feet long is leaning against the wall of a house. The base of the ladder is pulled…

A: According to our company guidelines we are supposed to answer only one question since you have asked…

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.