A ladder 3.9 m long is placed in a vertical plane which is at right angle to the vertical wall, the foot of the ladder being on horizontal ground. If the food of the ladder is pushed towards the wall at 1.8m/s, at what rate is the top of the ladder ascending the wall when the food is 1.5m from the wall?

Q: A bright light is sitting on the ground 20 feet from a wall. A 2ft tall dog begins to run from the…

A: The situation can be illustrated with this figure:

Q: In order to kill a bird 20m up in the air, a boy uses his catapult to shoot a pebble vertically…

A: given that  bird is at h=20m up in the air. a boy uses his catapult to shoot a pebble vertically…

Q: A 12 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how…

A: Given: Since the height is decreasing.     To determine:

Q: 4.) A 10-ft-long ladder leans against the side of a wall. The top of the ladder is sliding down the…

A:

Q: An eagle flying horizontally at an altitude of 6 m and speed of 4 m/s passes over a beaver standing…

A:

Q: A 13 foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

A:

Q: A 500-g ball at the level ground is kicked at a velocity of 30 m/s at an angle 25 degrees from…

A:

Q: At the beginning of a race, a yatch crosses the start line and sails in a westerly direction at a…

A: The objective of this question is to determine the distance and direction the yacht has travelled…

Q: A cat is approaching the foot of a 68-meter-tall pole at the rate of 0.9 m/s. At what rate is the…

A: Let h denote the height of the pole and x denote the distance between the cat and the foot 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.